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Finding the Fourth Proportional to 206,812.12, 285,356.46 and 120,732.04

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Solution

The fourth proportional to 206,812.12, 285,356.46 and 120,732.04 is: 166,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.12 : 285,356.46 = 120,732.04 : x
  2. Step 2: Convert to fraction form
    206,812.12/285,356.46 = 120,732.04/x
  3. Step 3: Cross multiply
    206,812.12x = 285,356.46 × 120,732.04
  4. Step 4: Simplify right side
    206,812.12x = 34,451,667,542.98
  5. Step 5: Solve for x
    x = 34,451,667,542.98/206,812.12
  6. Step 6: Final answer
    x = 166,584.37

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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.