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Finding the Fourth Proportional to 132,163.05, 182,380.11 and 71,732.39

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Solution

The fourth proportional to 132,163.05, 182,380.11 and 71,732.39 is: 98,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,163.05 : 182,380.11 = 71,732.39 : x
  2. Step 2: Convert to fraction form
    132,163.05/182,380.11 = 71,732.39/x
  3. Step 3: Cross multiply
    132,163.05x = 182,380.11 × 71,732.39
  4. Step 4: Simplify right side
    132,163.05x = 13,082,561,814.04
  5. Step 5: Solve for x
    x = 13,082,561,814.04/132,163.05
  6. Step 6: Final answer
    x = 98,988.05

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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.