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Finding the Fourth Proportional to 206,850.31, 285,484.31 and 126,324.16

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Solution

The fourth proportional to 206,850.31, 285,484.31 and 126,324.16 is: 174,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,850.31 : 285,484.31 = 126,324.16 : x
  2. Step 2: Convert to fraction form
    206,850.31/285,484.31 = 126,324.16/x
  3. Step 3: Cross multiply
    206,850.31x = 285,484.31 × 126,324.16
  4. Step 4: Simplify right side
    206,850.31x = 36,063,565,653.93
  5. Step 5: Solve for x
    x = 36,063,565,653.93/206,850.31
  6. Step 6: Final answer
    x = 174,346.20

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