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Finding the Fourth Proportional to 206,517.60, 309,387.60 and 106,336.80

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Solution

The fourth proportional to 206,517.60, 309,387.60 and 106,336.80 is: 159,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,517.60 : 309,387.60 = 106,336.80 : x
  2. Step 2: Convert to fraction form
    206,517.60/309,387.60 = 106,336.80/x
  3. Step 3: Cross multiply
    206,517.60x = 309,387.60 × 106,336.80
  4. Step 4: Simplify right side
    206,517.60x = 32,899,287,343.68
  5. Step 5: Solve for x
    x = 32,899,287,343.68/206,517.60
  6. Step 6: Final answer
    x = 159,305.01

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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.