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Finding the Fourth Proportional to 102,408.68, 141,291.60 and 80,830.28

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Solution

The fourth proportional to 102,408.68, 141,291.60 and 80,830.28 is: 111,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.68 : 141,291.60 = 80,830.28 : x
  2. Step 2: Convert to fraction form
    102,408.68/141,291.60 = 80,830.28/x
  3. Step 3: Cross multiply
    102,408.68x = 141,291.60 × 80,830.28
  4. Step 4: Simplify right side
    102,408.68x = 11,420,639,589.65
  5. Step 5: Solve for x
    x = 11,420,639,589.65/102,408.68
  6. Step 6: Final answer
    x = 111,520.23

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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.