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Finding the Fourth Proportional to 132,238.74, 198,370.71 and 37,470.90

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Solution

The fourth proportional to 132,238.74, 198,370.71 and 37,470.90 is: 56,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,238.74 : 198,370.71 = 37,470.90 : x
  2. Step 2: Convert to fraction form
    132,238.74/198,370.71 = 37,470.90/x
  3. Step 3: Cross multiply
    132,238.74x = 198,370.71 × 37,470.90
  4. Step 4: Simplify right side
    132,238.74x = 7,433,129,037.34
  5. Step 5: Solve for x
    x = 7,433,129,037.34/132,238.74
  6. Step 6: Final answer
    x = 56,209.92

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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.