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Finding the Fourth Proportional to 206,124.56, 309,231.24 and 63,967.04

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Solution

The fourth proportional to 206,124.56, 309,231.24 and 63,967.04 is: 95,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,124.56 : 309,231.24 = 63,967.04 : x
  2. Step 2: Convert to fraction form
    206,124.56/309,231.24 = 63,967.04/x
  3. Step 3: Cross multiply
    206,124.56x = 309,231.24 × 63,967.04
  4. Step 4: Simplify right side
    206,124.56x = 19,780,607,098.33
  5. Step 5: Solve for x
    x = 19,780,607,098.33/206,124.56
  6. Step 6: Final answer
    x = 95,964.34

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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.