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Finding the Fourth Proportional to 174,098.20, 261,147.30 and 85,408.60

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Solution

The fourth proportional to 174,098.20, 261,147.30 and 85,408.60 is: 128,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,098.20 : 261,147.30 = 85,408.60 : x
  2. Step 2: Convert to fraction form
    174,098.20/261,147.30 = 85,408.60/x
  3. Step 3: Cross multiply
    174,098.20x = 261,147.30 × 85,408.60
  4. Step 4: Simplify right side
    174,098.20x = 22,304,225,286.78
  5. Step 5: Solve for x
    x = 22,304,225,286.78/174,098.20
  6. Step 6: Final answer
    x = 128,112.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.