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Finding the Fourth Proportional to 78,819.60, 118,229.40 and 49,270.80

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Solution

The fourth proportional to 78,819.60, 118,229.40 and 49,270.80 is: 73,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,819.60 : 118,229.40 = 49,270.80 : x
  2. Step 2: Convert to fraction form
    78,819.60/118,229.40 = 49,270.80/x
  3. Step 3: Cross multiply
    78,819.60x = 118,229.40 × 49,270.80
  4. Step 4: Simplify right side
    78,819.60x = 5,825,257,121.52
  5. Step 5: Solve for x
    x = 5,825,257,121.52/78,819.60
  6. Step 6: Final answer
    x = 73,906.20

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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.