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Finding the Fourth Proportional to 137,132.83, 205,713.83 and 37,294.66

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Solution

The fourth proportional to 137,132.83, 205,713.83 and 37,294.66 is: 55,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.83 : 205,713.83 = 37,294.66 : x
  2. Step 2: Convert to fraction form
    137,132.83/205,713.83 = 37,294.66/x
  3. Step 3: Cross multiply
    137,132.83x = 205,713.83 × 37,294.66
  4. Step 4: Simplify right side
    137,132.83x = 7,672,027,160.67
  5. Step 5: Solve for x
    x = 7,672,027,160.67/137,132.83
  6. Step 6: Final answer
    x = 55,945.96

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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.