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Finding the Fourth Proportional to 75,198.48, 103,769.43 and 41,200.20

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Solution

The fourth proportional to 75,198.48, 103,769.43 and 41,200.20 is: 56,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198.48 : 103,769.43 = 41,200.20 : x
  2. Step 2: Convert to fraction form
    75,198.48/103,769.43 = 41,200.20/x
  3. Step 3: Cross multiply
    75,198.48x = 103,769.43 × 41,200.20
  4. Step 4: Simplify right side
    75,198.48x = 4,275,321,269.89
  5. Step 5: Solve for x
    x = 4,275,321,269.89/75,198.48
  6. Step 6: Final answer
    x = 56,853.83

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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.