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Finding the Fourth Proportional to 137,794.36, 206,713.20 and 58,909

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Solution

The fourth proportional to 137,794.36, 206,713.20 and 58,909 is: 88,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.36 : 206,713.20 = 58,909 : x
  2. Step 2: Convert to fraction form
    137,794.36/206,713.20 = 58,909/x
  3. Step 3: Cross multiply
    137,794.36x = 206,713.20 × 58,909
  4. Step 4: Simplify right side
    137,794.36x = 12,177,267,898.80
  5. Step 5: Solve for x
    x = 12,177,267,898.80/137,794.36
  6. Step 6: Final answer
    x = 88,372.76

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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.