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Finding the Fourth Proportional to 206,812.19, 285,356.57 and 120,732.12

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Solution

The fourth proportional to 206,812.19, 285,356.57 and 120,732.12 is: 166,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.19 : 285,356.57 = 120,732.12 : x
  2. Step 2: Convert to fraction form
    206,812.19/285,356.57 = 120,732.12/x
  3. Step 3: Cross multiply
    206,812.19x = 285,356.57 × 120,732.12
  4. Step 4: Simplify right side
    206,812.19x = 34,451,703,048.37
  5. Step 5: Solve for x
    x = 34,451,703,048.37/206,812.19
  6. Step 6: Final answer
    x = 166,584.49

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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.