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Finding the Fourth Proportional to 224,892.80, 337,358.40 and 77,148.80

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Solution

The fourth proportional to 224,892.80, 337,358.40 and 77,148.80 is: 115,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,892.80 : 337,358.40 = 77,148.80 : x
  2. Step 2: Convert to fraction form
    224,892.80/337,358.40 = 77,148.80/x
  3. Step 3: Cross multiply
    224,892.80x = 337,358.40 × 77,148.80
  4. Step 4: Simplify right side
    224,892.80x = 26,026,795,729.92
  5. Step 5: Solve for x
    x = 26,026,795,729.92/224,892.80
  6. Step 6: Final answer
    x = 115,729.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.