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Finding the Fourth Proportional to 138,590.68, 191,254.20 and 78,161.85

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Solution

The fourth proportional to 138,590.68, 191,254.20 and 78,161.85 is: 107,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,590.68 : 191,254.20 = 78,161.85 : x
  2. Step 2: Convert to fraction form
    138,590.68/191,254.20 = 78,161.85/x
  3. Step 3: Cross multiply
    138,590.68x = 191,254.20 × 78,161.85
  4. Step 4: Simplify right side
    138,590.68x = 14,948,782,092.27
  5. Step 5: Solve for x
    x = 14,948,782,092.27/138,590.68
  6. Step 6: Final answer
    x = 107,862.82

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