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Finding the Fourth Proportional to 132,382.44, 182,714.34 and 78,657.12

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Solution

The fourth proportional to 132,382.44, 182,714.34 and 78,657.12 is: 108,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.44 : 182,714.34 = 78,657.12 : x
  2. Step 2: Convert to fraction form
    132,382.44/182,714.34 = 78,657.12/x
  3. Step 3: Cross multiply
    132,382.44x = 182,714.34 × 78,657.12
  4. Step 4: Simplify right side
    132,382.44x = 14,371,783,767.10
  5. Step 5: Solve for x
    x = 14,371,783,767.10/132,382.44
  6. Step 6: Final answer
    x = 108,562.61

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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.