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Finding the Fourth Proportional to 206,523.20, 309,711.90 and 73,407.80

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Solution

The fourth proportional to 206,523.20, 309,711.90 and 73,407.80 is: 110,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523.20 : 309,711.90 = 73,407.80 : x
  2. Step 2: Convert to fraction form
    206,523.20/309,711.90 = 73,407.80/x
  3. Step 3: Cross multiply
    206,523.20x = 309,711.90 × 73,407.80
  4. Step 4: Simplify right side
    206,523.20x = 22,735,269,212.82
  5. Step 5: Solve for x
    x = 22,735,269,212.82/206,523.20
  6. Step 6: Final answer
    x = 110,085.79

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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.