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Finding the Fourth Proportional to 206,755.30, 285,300.12 and 116,121.16

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Solution

The fourth proportional to 206,755.30, 285,300.12 and 116,121.16 is: 160,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,755.30 : 285,300.12 = 116,121.16 : x
  2. Step 2: Convert to fraction form
    206,755.30/285,300.12 = 116,121.16/x
  3. Step 3: Cross multiply
    206,755.30x = 285,300.12 × 116,121.16
  4. Step 4: Simplify right side
    206,755.30x = 33,129,380,882.54
  5. Step 5: Solve for x
    x = 33,129,380,882.54/206,755.30
  6. Step 6: Final answer
    x = 160,234.74

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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.