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Finding the Fourth Proportional to 206,098.56, 309,251.52 and 153,613.44

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Solution

The fourth proportional to 206,098.56, 309,251.52 and 153,613.44 is: 230,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,098.56 : 309,251.52 = 153,613.44 : x
  2. Step 2: Convert to fraction form
    206,098.56/309,251.52 = 153,613.44/x
  3. Step 3: Cross multiply
    206,098.56x = 309,251.52 × 153,613.44
  4. Step 4: Simplify right side
    206,098.56x = 47,505,189,812.43
  5. Step 5: Solve for x
    x = 47,505,189,812.43/206,098.56
  6. Step 6: Final answer
    x = 230,497.44

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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.