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Finding the Fourth Proportional to 206,894.64, 285,514.68 and 116,250.48

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Solution

The fourth proportional to 206,894.64, 285,514.68 and 116,250.48 is: 160,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,894.64 : 285,514.68 = 116,250.48 : x
  2. Step 2: Convert to fraction form
    206,894.64/285,514.68 = 116,250.48/x
  3. Step 3: Cross multiply
    206,894.64x = 285,514.68 × 116,250.48
  4. Step 4: Simplify right side
    206,894.64x = 33,191,218,597.05
  5. Step 5: Solve for x
    x = 33,191,218,597.05/206,894.64
  6. Step 6: Final answer
    x = 160,425.71

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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.