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Finding the Fourth Proportional to 206,963.38, 285,633.14 and 115,091.83

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Solution

The fourth proportional to 206,963.38, 285,633.14 and 115,091.83 is: 158,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,963.38 : 285,633.14 = 115,091.83 : x
  2. Step 2: Convert to fraction form
    206,963.38/285,633.14 = 115,091.83/x
  3. Step 3: Cross multiply
    206,963.38x = 285,633.14 × 115,091.83
  4. Step 4: Simplify right side
    206,963.38x = 32,874,040,364.89
  5. Step 5: Solve for x
    x = 32,874,040,364.89/206,963.38
  6. Step 6: Final answer
    x = 158,839.89

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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.