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Finding the Fourth Proportional to 206,449.25, 284,627.30 and 134,704.71

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Solution

The fourth proportional to 206,449.25, 284,627.30 and 134,704.71 is: 185,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449.25 : 284,627.30 = 134,704.71 : x
  2. Step 2: Convert to fraction form
    206,449.25/284,627.30 = 134,704.71/x
  3. Step 3: Cross multiply
    206,449.25x = 284,627.30 × 134,704.71
  4. Step 4: Simplify right side
    206,449.25x = 38,340,637,231.06
  5. Step 5: Solve for x
    x = 38,340,637,231.06/206,449.25
  6. Step 6: Final answer
    x = 185,714.59

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1.5x scale

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.