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Finding the Fourth Proportional to 206,829.81, 285,456.03 and 126,304.02

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Solution

The fourth proportional to 206,829.81, 285,456.03 and 126,304.02 is: 174,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.81 : 285,456.03 = 126,304.02 : x
  2. Step 2: Convert to fraction form
    206,829.81/285,456.03 = 126,304.02/x
  3. Step 3: Cross multiply
    206,829.81x = 285,456.03 × 126,304.02
  4. Step 4: Simplify right side
    206,829.81x = 36,054,244,122.24
  5. Step 5: Solve for x
    x = 36,054,244,122.24/206,829.81
  6. Step 6: Final answer
    x = 174,318.41

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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.