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Finding the Fourth Proportional to 138,545.18, 191,192.37 and 74,882.78

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Solution

The fourth proportional to 138,545.18, 191,192.37 and 74,882.78 is: 103,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,545.18 : 191,192.37 = 74,882.78 : x
  2. Step 2: Convert to fraction form
    138,545.18/191,192.37 = 74,882.78/x
  3. Step 3: Cross multiply
    138,545.18x = 191,192.37 × 74,882.78
  4. Step 4: Simplify right side
    138,545.18x = 14,317,016,180.39
  5. Step 5: Solve for x
    x = 14,317,016,180.39/138,545.18
  6. Step 6: Final answer
    x = 103,338.25

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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.