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Finding the Fourth Proportional to 205,432.80, 283,481.10 and 113,548.21

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Solution

The fourth proportional to 205,432.80, 283,481.10 and 113,548.21 is: 156,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,432.80 : 283,481.10 = 113,548.21 : x
  2. Step 2: Convert to fraction form
    205,432.80/283,481.10 = 113,548.21/x
  3. Step 3: Cross multiply
    205,432.80x = 283,481.10 × 113,548.21
  4. Step 4: Simplify right side
    205,432.80x = 32,188,771,473.83
  5. Step 5: Solve for x
    x = 32,188,771,473.83/205,432.80
  6. Step 6: Final answer
    x = 156,687.60

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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.