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Finding the Fourth Proportional to 137,723.20, 206,422.80 and 78,614.80

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Solution

The fourth proportional to 137,723.20, 206,422.80 and 78,614.80 is: 117,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,723.20 : 206,422.80 = 78,614.80 : x
  2. Step 2: Convert to fraction form
    137,723.20/206,422.80 = 78,614.80/x
  3. Step 3: Cross multiply
    137,723.20x = 206,422.80 × 78,614.80
  4. Step 4: Simplify right side
    137,723.20x = 16,227,887,137.44
  5. Step 5: Solve for x
    x = 16,227,887,137.44/137,723.20
  6. Step 6: Final answer
    x = 117,829.73

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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.