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UPDATE 2:

Echo for : 'images' => $data[ 'images' ] :

[images] => Array
(
[0] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00d0d_3Qnz0HTaTVP_600x450.jpg
[1] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00d0d_3Qnz0HTaTVP_600x450.jpg
[2] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00202_apLgMytA6Fo_600x450.jpg
[3] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00J0J_2rxcE4rqK3h_600x450.jpg
[4] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00t0t_4PKqbSme4FE_600x450.jpg
[5] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00q0q_jbVdZ1mNi9R_600x450.jpg
[6] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00r0r_l2XOi3b8tML_600x450.jpg
[7] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00j0j_cHeK38ceFIG_600x450.jpg
[8] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00D0D_dqcnZzF1Msl_600x450.jpg
[9] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00606_aWYjRYKgX0g_600x450.jpg
[10] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00707_dfM9vlGIvcS_600x450.jpg
[11] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00U0U_jINezkwXHhY_600x450.jpg
)

Echo for $image_ids in your code :

Array
(
[0] => 0
[1] => 0
[2] => 0
[3] => 0
[4] => 0
[5] => 0
[6] => 0
[7] => 0
[8] => 0
[9] => 0
[10] => 0
[11] => 0
)

UPDATE 1 :

[post_images] => Array
(
[0] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00k0k_l1jwqDulnwk_600x450.jpg
[1] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00k0k_l1jwqDulnwk_600x450.jpg
[2] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/00303_cALZYkakJx2_600x450.jpg
[3] => http://boatexportusa.com/wp-content/plugins/api/get-image.php?src=fakesrc/01515_5nEeIcoBGot_600x450.jpg
)

UPDATE :

Example: API Response (JSON)

{
    "status":"SUCCESS",
    "message":"Results have been extracted",
    "results":[{
                "post_title":"1984 AQUASPORT 222 FT W96 YAMAHA",
                "post_name":"1984-aquasport-22-2-ft-w96-ya",
                "post_content":"Nice boat 1984 aquasport 22.2 ft c.c 1996 yamaha 200 hp runs good.",
                "post_category":"By Owner",
                "price":"52000",
                "location":"Miami, FL",
                "stock":"952481",
                "year":"2007",
                "images":[
                          "http:\/\/boatexportusa.com\/wp-content\/plugins\/api\/get-image.php?src=fakesrc\/00o0o_7TGyKJXFMp9_600x450.jpg",
                          "http:\/\/boatexportusa.com\/wp-content\/plugins\/api\/get-image.php?src=fakesrc\/00o0o_7TGyKJXFMp9_600x450.jpg"
                         ],
                "cond":"new",
                "size":"27'",
                "make":"SeaRay",
                "model":"S300",
                "hours":"330",
                "propulsion":"Power",
                "addedtime":"2015-03-23"
                }]
}