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Finding the Fourth Proportional to 278,016.80, 417,025.20 and 165,823.70

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Solution

The fourth proportional to 278,016.80, 417,025.20 and 165,823.70 is: 248,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,016.80 : 417,025.20 = 165,823.70 : x
  2. Step 2: Convert to fraction form
    278,016.80/417,025.20 = 165,823.70/x
  3. Step 3: Cross multiply
    278,016.80x = 417,025.20 × 165,823.70
  4. Step 4: Simplify right side
    278,016.80x = 69,152,661,657.24
  5. Step 5: Solve for x
    x = 69,152,661,657.24/278,016.80
  6. Step 6: Final answer
    x = 248,735.55

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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.