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Finding the Fourth Proportional to 137,906.90, 206,713.20 and 78,614.90

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Solution

The fourth proportional to 137,906.90, 206,713.20 and 78,614.90 is: 117,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.90 : 206,713.20 = 78,614.90 : x
  2. Step 2: Convert to fraction form
    137,906.90/206,713.20 = 78,614.90/x
  3. Step 3: Cross multiply
    137,906.90x = 206,713.20 × 78,614.90
  4. Step 4: Simplify right side
    137,906.90x = 16,250,737,546.68
  5. Step 5: Solve for x
    x = 16,250,737,546.68/137,906.90
  6. Step 6: Final answer
    x = 117,838.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.