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Finding the Fourth Proportional to 173,874.30, 260,734.65 and 80,408.70

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Solution

The fourth proportional to 173,874.30, 260,734.65 and 80,408.70 is: 120,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,874.30 : 260,734.65 = 80,408.70 : x
  2. Step 2: Convert to fraction form
    173,874.30/260,734.65 = 80,408.70/x
  3. Step 3: Cross multiply
    173,874.30x = 260,734.65 × 80,408.70
  4. Step 4: Simplify right side
    173,874.30x = 20,965,334,251.46
  5. Step 5: Solve for x
    x = 20,965,334,251.46/173,874.30
  6. Step 6: Final answer
    x = 120,577.53

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Why These Related Problems?

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