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Finding the Fourth Proportional to 132,818.62, 199,169.31 and 38,027.29

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Solution

The fourth proportional to 132,818.62, 199,169.31 and 38,027.29 is: 57,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,818.62 : 199,169.31 = 38,027.29 : x
  2. Step 2: Convert to fraction form
    132,818.62/199,169.31 = 38,027.29/x
  3. Step 3: Cross multiply
    132,818.62x = 199,169.31 × 38,027.29
  4. Step 4: Simplify right side
    132,818.62x = 7,573,868,920.33
  5. Step 5: Solve for x
    x = 7,573,868,920.33/132,818.62
  6. Step 6: Final answer
    x = 57,024.15

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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.