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Finding the Fourth Proportional to 206,411.82, 309,318.90 and 142,304.16

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Solution

The fourth proportional to 206,411.82, 309,318.90 and 142,304.16 is: 213,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.82 : 309,318.90 = 142,304.16 : x
  2. Step 2: Convert to fraction form
    206,411.82/309,318.90 = 142,304.16/x
  3. Step 3: Cross multiply
    206,411.82x = 309,318.90 × 142,304.16
  4. Step 4: Simplify right side
    206,411.82x = 44,017,366,236.62
  5. Step 5: Solve for x
    x = 44,017,366,236.62/206,411.82
  6. Step 6: Final answer
    x = 213,250.22

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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.