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Finding the Fourth Proportional to 206,843.52, 285,451.49 and 116,197.54

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Solution

The fourth proportional to 206,843.52, 285,451.49 and 116,197.54 is: 160,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.52 : 285,451.49 = 116,197.54 : x
  2. Step 2: Convert to fraction form
    206,843.52/285,451.49 = 116,197.54/x
  3. Step 3: Cross multiply
    206,843.52x = 285,451.49 × 116,197.54
  4. Step 4: Simplify right side
    206,843.52x = 33,168,760,504.20
  5. Step 5: Solve for x
    x = 33,168,760,504.20/206,843.52
  6. Step 6: Final answer
    x = 160,356.78

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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.