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Finding the Fourth Proportional to 138,874.16, 191,658.14 and 78,455.90

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Solution

The fourth proportional to 138,874.16, 191,658.14 and 78,455.90 is: 108,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.16 : 191,658.14 = 78,455.90 : x
  2. Step 2: Convert to fraction form
    138,874.16/191,658.14 = 78,455.90/x
  3. Step 3: Cross multiply
    138,874.16x = 191,658.14 × 78,455.90
  4. Step 4: Simplify right side
    138,874.16x = 15,036,711,866.03
  5. Step 5: Solve for x
    x = 15,036,711,866.03/138,874.16
  6. Step 6: Final answer
    x = 108,275.81

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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.