The best replacement for motivated is extrinsically.

The best alternatives to motivated are rated as following:
★★★★★  extrinsically
★★★★★  extrinsically motivated
★★★★★  self motivated
★★★★  inspired
★★★★  driven
★★  gang related
★★  determined
★★  satisfied
★★  self-motivated
★  highly motivated
★  highly-motivated
★  self starter
★  intrinsically motivated
  motivated
  externally motivated

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motivated
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extrinsically motivated