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Finding the Fourth Proportional to 206,142.60, 309,213.90 and 159,486.60

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Solution

The fourth proportional to 206,142.60, 309,213.90 and 159,486.60 is: 239,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.60 : 309,213.90 = 159,486.60 : x
  2. Step 2: Convert to fraction form
    206,142.60/309,213.90 = 159,486.60/x
  3. Step 3: Cross multiply
    206,142.60x = 309,213.90 × 159,486.60
  4. Step 4: Simplify right side
    206,142.60x = 49,315,473,583.74
  5. Step 5: Solve for x
    x = 49,315,473,583.74/206,142.60
  6. Step 6: Final answer
    x = 239,229.90

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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.