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Finding the Fourth Proportional to 206,882.50, 285,498.12 and 117,458.50

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Solution

The fourth proportional to 206,882.50, 285,498.12 and 117,458.50 is: 162,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882.50 : 285,498.12 = 117,458.50 : x
  2. Step 2: Convert to fraction form
    206,882.50/285,498.12 = 117,458.50/x
  3. Step 3: Cross multiply
    206,882.50x = 285,498.12 × 117,458.50
  4. Step 4: Simplify right side
    206,882.50x = 33,534,180,928.02
  5. Step 5: Solve for x
    x = 33,534,180,928.02/206,882.50
  6. Step 6: Final answer
    x = 162,092.88

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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.