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Finding the Fourth Proportional to 132,411.38, 182,731.26 and 71,986.12

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Solution

The fourth proportional to 132,411.38, 182,731.26 and 71,986.12 is: 99,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,411.38 : 182,731.26 = 71,986.12 : x
  2. Step 2: Convert to fraction form
    132,411.38/182,731.26 = 71,986.12/x
  3. Step 3: Cross multiply
    132,411.38x = 182,731.26 × 71,986.12
  4. Step 4: Simplify right side
    132,411.38x = 13,154,114,410.11
  5. Step 5: Solve for x
    x = 13,154,114,410.11/132,411.38
  6. Step 6: Final answer
    x = 99,342.78

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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.