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Finding the Fourth Proportional to 206,842.89, 285,476.42 and 193,335.44

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Solution

The fourth proportional to 206,842.89, 285,476.42 and 193,335.44 is: 266,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.89 : 285,476.42 = 193,335.44 : x
  2. Step 2: Convert to fraction form
    206,842.89/285,476.42 = 193,335.44/x
  3. Step 3: Cross multiply
    206,842.89x = 285,476.42 × 193,335.44
  4. Step 4: Simplify right side
    206,842.89x = 55,192,708,326.28
  5. Step 5: Solve for x
    x = 55,192,708,326.28/206,842.89
  6. Step 6: Final answer
    x = 266,833.96

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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.