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Finding the Fourth Proportional to 206,101.27, 309,181.25 and 63,958.83

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Solution

The fourth proportional to 206,101.27, 309,181.25 and 63,958.83 is: 95,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,101.27 : 309,181.25 = 63,958.83 : x
  2. Step 2: Convert to fraction form
    206,101.27/309,181.25 = 63,958.83/x
  3. Step 3: Cross multiply
    206,101.27x = 309,181.25 × 63,958.83
  4. Step 4: Simplify right side
    206,101.27x = 19,774,869,142.24
  5. Step 5: Solve for x
    x = 19,774,869,142.24/206,101.27
  6. Step 6: Final answer
    x = 95,947.34

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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.