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Finding the Fourth Proportional to 173,906.20, 260,859.30 and 120,251.80

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Solution

The fourth proportional to 173,906.20, 260,859.30 and 120,251.80 is: 180,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,906.20 : 260,859.30 = 120,251.80 : x
  2. Step 2: Convert to fraction form
    173,906.20/260,859.30 = 120,251.80/x
  3. Step 3: Cross multiply
    173,906.20x = 260,859.30 × 120,251.80
  4. Step 4: Simplify right side
    173,906.20x = 31,368,800,371.74
  5. Step 5: Solve for x
    x = 31,368,800,371.74/173,906.20
  6. Step 6: Final answer
    x = 180,377.70

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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.