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Finding the Fourth Proportional to 101,691.92, 140,338.49 and 61,397.86

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Solution

The fourth proportional to 101,691.92, 140,338.49 and 61,397.86 is: 84,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,691.92 : 140,338.49 = 61,397.86 : x
  2. Step 2: Convert to fraction form
    101,691.92/140,338.49 = 61,397.86/x
  3. Step 3: Cross multiply
    101,691.92x = 140,338.49 × 61,397.86
  4. Step 4: Simplify right side
    101,691.92x = 8,616,482,961.63
  5. Step 5: Solve for x
    x = 8,616,482,961.63/101,691.92
  6. Step 6: Final answer
    x = 84,731.24

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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.