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Finding the Fourth Proportional to 132,295.38, 182,569.68 and 71,867.22

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Solution

The fourth proportional to 132,295.38, 182,569.68 and 71,867.22 is: 99,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,295.38 : 182,569.68 = 71,867.22 : x
  2. Step 2: Convert to fraction form
    132,295.38/182,569.68 = 71,867.22/x
  3. Step 3: Cross multiply
    132,295.38x = 182,569.68 × 71,867.22
  4. Step 4: Simplify right side
    132,295.38x = 13,120,775,357.89
  5. Step 5: Solve for x
    x = 13,120,775,357.89/132,295.38
  6. Step 6: Final answer
    x = 99,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.