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Finding the Fourth Proportional to 138,920.08, 191,691.38 and 87,842.70

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Solution

The fourth proportional to 138,920.08, 191,691.38 and 87,842.70 is: 121,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.08 : 191,691.38 = 87,842.70 : x
  2. Step 2: Convert to fraction form
    138,920.08/191,691.38 = 87,842.70/x
  3. Step 3: Cross multiply
    138,920.08x = 191,691.38 × 87,842.70
  4. Step 4: Simplify right side
    138,920.08x = 16,838,688,385.93
  5. Step 5: Solve for x
    x = 16,838,688,385.93/138,920.08
  6. Step 6: Final answer
    x = 121,211.34

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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.