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Finding the Fourth Proportional to 206,144.20, 309,224.22 and 73,024.84

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Solution

The fourth proportional to 206,144.20, 309,224.22 and 73,024.84 is: 109,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,144.20 : 309,224.22 = 73,024.84 : x
  2. Step 2: Convert to fraction form
    206,144.20/309,224.22 = 73,024.84/x
  3. Step 3: Cross multiply
    206,144.20x = 309,224.22 × 73,024.84
  4. Step 4: Simplify right side
    206,144.20x = 22,581,049,189.62
  5. Step 5: Solve for x
    x = 22,581,049,189.62/206,144.20
  6. Step 6: Final answer
    x = 109,540.07

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1.5x scale

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.