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Finding the Fourth Proportional to 206,952.60, 285,586.32 and 126,514.72

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Solution

The fourth proportional to 206,952.60, 285,586.32 and 126,514.72 is: 174,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.60 : 285,586.32 = 126,514.72 : x
  2. Step 2: Convert to fraction form
    206,952.60/285,586.32 = 126,514.72/x
  3. Step 3: Cross multiply
    206,952.60x = 285,586.32 × 126,514.72
  4. Step 4: Simplify right side
    206,952.60x = 36,130,873,310.63
  5. Step 5: Solve for x
    x = 36,130,873,310.63/206,952.60
  6. Step 6: Final answer
    x = 174,585.26

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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.