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Finding the Fourth Proportional to 198,292.77, 297,734.36 and 80,194.77

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Solution

The fourth proportional to 198,292.77, 297,734.36 and 80,194.77 is: 120,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,292.77 : 297,734.36 = 80,194.77 : x
  2. Step 2: Convert to fraction form
    198,292.77/297,734.36 = 80,194.77/x
  3. Step 3: Cross multiply
    198,292.77x = 297,734.36 × 80,194.77
  4. Step 4: Simplify right side
    198,292.77x = 23,876,738,120.32
  5. Step 5: Solve for x
    x = 23,876,738,120.32/198,292.77
  6. Step 6: Final answer
    x = 120,411.54

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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.