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Finding the Fourth Proportional to 185,912.94, 278,712.69 and 80,652.54

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Solution

The fourth proportional to 185,912.94, 278,712.69 and 80,652.54 is: 120,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,912.94 : 278,712.69 = 80,652.54 : x
  2. Step 2: Convert to fraction form
    185,912.94/278,712.69 = 80,652.54/x
  3. Step 3: Cross multiply
    185,912.94x = 278,712.69 × 80,652.54
  4. Step 4: Simplify right side
    185,912.94x = 22,478,886,378.73
  5. Step 5: Solve for x
    x = 22,478,886,378.73/185,912.94
  6. Step 6: Final answer
    x = 120,910.82

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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.