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Finding the Fourth Proportional to 206,849.64, 285,453.54 and 116,209.44

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Solution

The fourth proportional to 206,849.64, 285,453.54 and 116,209.44 is: 160,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,849.64 : 285,453.54 = 116,209.44 : x
  2. Step 2: Convert to fraction form
    206,849.64/285,453.54 = 116,209.44/x
  3. Step 3: Cross multiply
    206,849.64x = 285,453.54 × 116,209.44
  4. Step 4: Simplify right side
    206,849.64x = 33,172,396,029.42
  5. Step 5: Solve for x
    x = 33,172,396,029.42/206,849.64
  6. Step 6: Final answer
    x = 160,369.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.