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Finding the Fourth Proportional to 206,023.30, 309,082.87 and 63,861.03

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Solution

The fourth proportional to 206,023.30, 309,082.87 and 63,861.03 is: 95,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,023.30 : 309,082.87 = 63,861.03 : x
  2. Step 2: Convert to fraction form
    206,023.30/309,082.87 = 63,861.03/x
  3. Step 3: Cross multiply
    206,023.30x = 309,082.87 × 63,861.03
  4. Step 4: Simplify right side
    206,023.30x = 19,738,350,433.56
  5. Step 5: Solve for x
    x = 19,738,350,433.56/206,023.30
  6. Step 6: Final answer
    x = 95,806.40

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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.