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Finding the Fourth Proportional to 206,872.38, 285,512.67 and 116,235.36

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Solution

The fourth proportional to 206,872.38, 285,512.67 and 116,235.36 is: 160,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,872.38 : 285,512.67 = 116,235.36 : x
  2. Step 2: Convert to fraction form
    206,872.38/285,512.67 = 116,235.36/x
  3. Step 3: Cross multiply
    206,872.38x = 285,512.67 × 116,235.36
  4. Step 4: Simplify right side
    206,872.38x = 33,186,667,982.01
  5. Step 5: Solve for x
    x = 33,186,667,982.01/206,872.38
  6. Step 6: Final answer
    x = 160,420.97

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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.