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Finding the Fourth Proportional to 132,314.64, 182,593.44 and 71,884.86

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Solution

The fourth proportional to 132,314.64, 182,593.44 and 71,884.86 is: 99,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,314.64 : 182,593.44 = 71,884.86 : x
  2. Step 2: Convert to fraction form
    132,314.64/182,593.44 = 71,884.86/x
  3. Step 3: Cross multiply
    132,314.64x = 182,593.44 × 71,884.86
  4. Step 4: Simplify right side
    132,314.64x = 13,125,703,871.32
  5. Step 5: Solve for x
    x = 13,125,703,871.32/132,314.64
  6. Step 6: Final answer
    x = 99,200.69

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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.