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Finding the Fourth Proportional to 143,714.34, 198,331.92 and 80,052.12

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Solution

The fourth proportional to 143,714.34, 198,331.92 and 80,052.12 is: 110,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,714.34 : 198,331.92 = 80,052.12 : x
  2. Step 2: Convert to fraction form
    143,714.34/198,331.92 = 80,052.12/x
  3. Step 3: Cross multiply
    143,714.34x = 198,331.92 × 80,052.12
  4. Step 4: Simplify right side
    143,714.34x = 15,876,890,659.67
  5. Step 5: Solve for x
    x = 15,876,890,659.67/143,714.34
  6. Step 6: Final answer
    x = 110,475.34

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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.