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Finding the Fourth Proportional to 224,753.82, 310,169.72 and 129,260.61

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Solution

The fourth proportional to 224,753.82, 310,169.72 and 129,260.61 is: 178,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,753.82 : 310,169.72 = 129,260.61 : x
  2. Step 2: Convert to fraction form
    224,753.82/310,169.72 = 129,260.61/x
  3. Step 3: Cross multiply
    224,753.82x = 310,169.72 × 129,260.61
  4. Step 4: Simplify right side
    224,753.82x = 40,092,726,564.43
  5. Step 5: Solve for x
    x = 40,092,726,564.43/224,753.82
  6. Step 6: Final answer
    x = 178,385.07

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Why These Related Problems?

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