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Finding the Fourth Proportional to 198,997.92, 298,600.56 and 88,164

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Solution

The fourth proportional to 198,997.92, 298,600.56 and 88,164 is: 132,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,997.92 : 298,600.56 = 88,164 : x
  2. Step 2: Convert to fraction form
    198,997.92/298,600.56 = 88,164/x
  3. Step 3: Cross multiply
    198,997.92x = 298,600.56 × 88,164
  4. Step 4: Simplify right side
    198,997.92x = 26,325,819,771.84
  5. Step 5: Solve for x
    x = 26,325,819,771.84/198,997.92
  6. Step 6: Final answer
    x = 132,291.93

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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.