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Finding the Fourth Proportional to 204,901.68, 282,792.06 and 120,052.56

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Solution

The fourth proportional to 204,901.68, 282,792.06 and 120,052.56 is: 165,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,901.68 : 282,792.06 = 120,052.56 : x
  2. Step 2: Convert to fraction form
    204,901.68/282,792.06 = 120,052.56/x
  3. Step 3: Cross multiply
    204,901.68x = 282,792.06 × 120,052.56
  4. Step 4: Simplify right side
    204,901.68x = 33,949,910,750.67
  5. Step 5: Solve for x
    x = 33,949,910,750.67/204,901.68
  6. Step 6: Final answer
    x = 165,688.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.