The value of the $\$160,\!000$ house is $\frac{4}{3}$ of the value of the $\$120,\!000$ house, so the tax is $\frac{4}{3}$ as great as well: $\$3,\!000\cdot\frac{4}{3}=\boxed{\$4,\!000}$.
The owners of a house that is assessed at $\$120,\!000$ pay $\$3,\!000$ in taxes. At the same rate, what is the tax, in dollars, for a house assessed at $\$160,\!000$?
{'answer': '\\$4,\\!000', 'subject': 'Prealgebra', 'level': 2, 'unique_id': 'test/prealgebra/651.json'}