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Finding the Fourth Proportional to 132,217.32, 182,398.86 and 78,471.84

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Solution

The fourth proportional to 132,217.32, 182,398.86 and 78,471.84 is: 108,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217.32 : 182,398.86 = 78,471.84 : x
  2. Step 2: Convert to fraction form
    132,217.32/182,398.86 = 78,471.84/x
  3. Step 3: Cross multiply
    132,217.32x = 182,398.86 × 78,471.84
  4. Step 4: Simplify right side
    132,217.32x = 14,313,174,158.10
  5. Step 5: Solve for x
    x = 14,313,174,158.10/132,217.32
  6. Step 6: Final answer
    x = 108,254.91

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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.