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Finding the Fourth Proportional to 132,182.38, 182,411.92 and 71,753.07

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Solution

The fourth proportional to 132,182.38, 182,411.92 and 71,753.07 is: 99,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,182.38 : 182,411.92 = 71,753.07 : x
  2. Step 2: Convert to fraction form
    132,182.38/182,411.92 = 71,753.07/x
  3. Step 3: Cross multiply
    132,182.38x = 182,411.92 × 71,753.07
  4. Step 4: Simplify right side
    132,182.38x = 13,088,614,095.62
  5. Step 5: Solve for x
    x = 13,088,614,095.62/132,182.38
  6. Step 6: Final answer
    x = 99,019.35

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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.