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Finding the Fourth Proportional to 206,077, 309,001.80 and 63,882.88

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Solution

The fourth proportional to 206,077, 309,001.80 and 63,882.88 is: 95,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077 : 309,001.80 = 63,882.88 : x
  2. Step 2: Convert to fraction form
    206,077/309,001.80 = 63,882.88/x
  3. Step 3: Cross multiply
    206,077x = 309,001.80 × 63,882.88
  4. Step 4: Simplify right side
    206,077x = 19,739,924,909.18
  5. Step 5: Solve for x
    x = 19,739,924,909.18/206,077
  6. Step 6: Final answer
    x = 95,789.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.