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Finding the Fourth Proportional to 198,997.44, 298,495.49 and 80,668.46

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Solution

The fourth proportional to 198,997.44, 298,495.49 and 80,668.46 is: 121,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,997.44 : 298,495.49 = 80,668.46 : x
  2. Step 2: Convert to fraction form
    198,997.44/298,495.49 = 80,668.46/x
  3. Step 3: Cross multiply
    198,997.44x = 298,495.49 × 80,668.46
  4. Step 4: Simplify right side
    198,997.44x = 24,079,169,599.43
  5. Step 5: Solve for x
    x = 24,079,169,599.43/198,997.44
  6. Step 6: Final answer
    x = 121,002.41

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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.