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Finding the Fourth Proportional to 137,600.52, 206,399.88 and 37,752.90

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Solution

The fourth proportional to 137,600.52, 206,399.88 and 37,752.90 is: 56,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600.52 : 206,399.88 = 37,752.90 : x
  2. Step 2: Convert to fraction form
    137,600.52/206,399.88 = 37,752.90/x
  3. Step 3: Cross multiply
    137,600.52x = 206,399.88 × 37,752.90
  4. Step 4: Simplify right side
    137,600.52x = 7,792,194,029.65
  5. Step 5: Solve for x
    x = 7,792,194,029.65/137,600.52
  6. Step 6: Final answer
    x = 56,629.10

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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.