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Finding the Fourth Proportional to 206,741.32, 285,280.78 and 116,107.16

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Solution

The fourth proportional to 206,741.32, 285,280.78 and 116,107.16 is: 160,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,741.32 : 285,280.78 = 116,107.16 : x
  2. Step 2: Convert to fraction form
    206,741.32/285,280.78 = 116,107.16/x
  3. Step 3: Cross multiply
    206,741.32x = 285,280.78 × 116,107.16
  4. Step 4: Simplify right side
    206,741.32x = 33,123,141,168.38
  5. Step 5: Solve for x
    x = 33,123,141,168.38/206,741.32
  6. Step 6: Final answer
    x = 160,215.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.