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Finding the Fourth Proportional to 137,733.76, 206,711.34 and 71,193.39

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Solution

The fourth proportional to 137,733.76, 206,711.34 and 71,193.39 is: 106,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,733.76 : 206,711.34 = 71,193.39 : x
  2. Step 2: Convert to fraction form
    137,733.76/206,711.34 = 71,193.39/x
  3. Step 3: Cross multiply
    137,733.76x = 206,711.34 × 71,193.39
  4. Step 4: Simplify right side
    137,733.76x = 14,716,481,046.04
  5. Step 5: Solve for x
    x = 14,716,481,046.04/137,733.76
  6. Step 6: Final answer
    x = 106,847.30

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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.