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Finding the Fourth Proportional to 137,446.92, 206,105.10 and 53,246.52

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Solution

The fourth proportional to 137,446.92, 206,105.10 and 53,246.52 is: 79,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.92 : 206,105.10 = 53,246.52 : x
  2. Step 2: Convert to fraction form
    137,446.92/206,105.10 = 53,246.52/x
  3. Step 3: Cross multiply
    137,446.92x = 206,105.10 × 53,246.52
  4. Step 4: Simplify right side
    137,446.92x = 10,974,379,329.25
  5. Step 5: Solve for x
    x = 10,974,379,329.25/137,446.92
  6. Step 6: Final answer
    x = 79,844.49

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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.