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Finding the Fourth Proportional to 141,885.38, 195,799.10 and 77,355.30

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Solution

The fourth proportional to 141,885.38, 195,799.10 and 77,355.30 is: 106,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885.38 : 195,799.10 = 77,355.30 : x
  2. Step 2: Convert to fraction form
    141,885.38/195,799.10 = 77,355.30/x
  3. Step 3: Cross multiply
    141,885.38x = 195,799.10 × 77,355.30
  4. Step 4: Simplify right side
    141,885.38x = 15,146,098,120.23
  5. Step 5: Solve for x
    x = 15,146,098,120.23/141,885.38
  6. Step 6: Final answer
    x = 106,748.83

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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.