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Finding the Fourth Proportional to 132,591.93, 182,978.28 and 72,163.86

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Solution

The fourth proportional to 132,591.93, 182,978.28 and 72,163.86 is: 99,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,591.93 : 182,978.28 = 72,163.86 : x
  2. Step 2: Convert to fraction form
    132,591.93/182,978.28 = 72,163.86/x
  3. Step 3: Cross multiply
    132,591.93x = 182,978.28 × 72,163.86
  4. Step 4: Simplify right side
    132,591.93x = 13,204,418,980.96
  5. Step 5: Solve for x
    x = 13,204,418,980.96/132,591.93
  6. Step 6: Final answer
    x = 99,586.90

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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.