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Finding the Fourth Proportional to 206,586.20, 309,879.36 and 66,443.24

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Solution

The fourth proportional to 206,586.20, 309,879.36 and 66,443.24 is: 99,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586.20 : 309,879.36 = 66,443.24 : x
  2. Step 2: Convert to fraction form
    206,586.20/309,879.36 = 66,443.24/x
  3. Step 3: Cross multiply
    206,586.20x = 309,879.36 × 66,443.24
  4. Step 4: Simplify right side
    206,586.20x = 20,589,387,138.13
  5. Step 5: Solve for x
    x = 20,589,387,138.13/206,586.20
  6. Step 6: Final answer
    x = 99,664.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.