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Finding the Fourth Proportional to 206,713.98, 285,309.72 and 126,124.20

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Solution

The fourth proportional to 206,713.98, 285,309.72 and 126,124.20 is: 174,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,713.98 : 285,309.72 = 126,124.20 : x
  2. Step 2: Convert to fraction form
    206,713.98/285,309.72 = 126,124.20/x
  3. Step 3: Cross multiply
    206,713.98x = 285,309.72 × 126,124.20
  4. Step 4: Simplify right side
    206,713.98x = 35,984,460,187.22
  5. Step 5: Solve for x
    x = 35,984,460,187.22/206,713.98
  6. Step 6: Final answer
    x = 174,078.50

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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.