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Finding the Fourth Proportional to 215,721.76, 297,706.16 and 120,229.13

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Solution

The fourth proportional to 215,721.76, 297,706.16 and 120,229.13 is: 165,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,721.76 : 297,706.16 = 120,229.13 : x
  2. Step 2: Convert to fraction form
    215,721.76/297,706.16 = 120,229.13/x
  3. Step 3: Cross multiply
    215,721.76x = 297,706.16 × 120,229.13
  4. Step 4: Simplify right side
    215,721.76x = 35,792,952,755.56
  5. Step 5: Solve for x
    x = 35,792,952,755.56/215,721.76
  6. Step 6: Final answer
    x = 165,921.85

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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.