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Finding the Fourth Proportional to 137,508.54, 206,262.98 and 37,669.59

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Solution

The fourth proportional to 137,508.54, 206,262.98 and 37,669.59 is: 56,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508.54 : 206,262.98 = 37,669.59 : x
  2. Step 2: Convert to fraction form
    137,508.54/206,262.98 = 37,669.59/x
  3. Step 3: Cross multiply
    137,508.54x = 206,262.98 × 37,669.59
  4. Step 4: Simplify right side
    137,508.54x = 7,769,841,700.43
  5. Step 5: Solve for x
    x = 7,769,841,700.43/137,508.54
  6. Step 6: Final answer
    x = 56,504.43

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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.