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Finding the Fourth Proportional to 120,357.62, 180,408.37 and 45,445.87

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Solution

The fourth proportional to 120,357.62, 180,408.37 and 45,445.87 is: 68,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.62 : 180,408.37 = 45,445.87 : x
  2. Step 2: Convert to fraction form
    120,357.62/180,408.37 = 45,445.87/x
  3. Step 3: Cross multiply
    120,357.62x = 180,408.37 × 45,445.87
  4. Step 4: Simplify right side
    120,357.62x = 8,198,815,329.93
  5. Step 5: Solve for x
    x = 8,198,815,329.93/120,357.62
  6. Step 6: Final answer
    x = 68,120.45

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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.