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Finding the Fourth Proportional to 132,591.32, 182,944.09 and 78,145.66

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Solution

The fourth proportional to 132,591.32, 182,944.09 and 78,145.66 is: 107,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,591.32 : 182,944.09 = 78,145.66 : x
  2. Step 2: Convert to fraction form
    132,591.32/182,944.09 = 78,145.66/x
  3. Step 3: Cross multiply
    132,591.32x = 182,944.09 × 78,145.66
  4. Step 4: Simplify right side
    132,591.32x = 14,296,286,656.15
  5. Step 5: Solve for x
    x = 14,296,286,656.15/132,591.32
  6. Step 6: Final answer
    x = 107,822.19

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