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Finding the Fourth Proportional to 137,861.76, 206,793.68 and 75,498.24

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Solution

The fourth proportional to 137,861.76, 206,793.68 and 75,498.24 is: 113,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,861.76 : 206,793.68 = 75,498.24 : x
  2. Step 2: Convert to fraction form
    137,861.76/206,793.68 = 75,498.24/x
  3. Step 3: Cross multiply
    137,861.76x = 206,793.68 × 75,498.24
  4. Step 4: Simplify right side
    137,861.76x = 15,612,558,883.12
  5. Step 5: Solve for x
    x = 15,612,558,883.12/137,861.76
  6. Step 6: Final answer
    x = 113,247.93

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1.5x scale

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.