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Finding the Fourth Proportional to 198,819.26, 298,284.47 and 65,793.16

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Solution

The fourth proportional to 198,819.26, 298,284.47 and 65,793.16 is: 98,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,819.26 : 298,284.47 = 65,793.16 : x
  2. Step 2: Convert to fraction form
    198,819.26/298,284.47 = 65,793.16/x
  3. Step 3: Cross multiply
    198,819.26x = 298,284.47 × 65,793.16
  4. Step 4: Simplify right side
    198,819.26x = 19,625,078,520.93
  5. Step 5: Solve for x
    x = 19,625,078,520.93/198,819.26
  6. Step 6: Final answer
    x = 98,708.14

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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.