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Finding the Fourth Proportional to 198,884.96, 298,327.43 and 163,750.80

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Solution

The fourth proportional to 198,884.96, 298,327.43 and 163,750.80 is: 245,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,884.96 : 298,327.43 = 163,750.80 : x
  2. Step 2: Convert to fraction form
    198,884.96/298,327.43 = 163,750.80/x
  3. Step 3: Cross multiply
    198,884.96x = 298,327.43 × 163,750.80
  4. Step 4: Simplify right side
    198,884.96x = 48,851,354,505.69
  5. Step 5: Solve for x
    x = 48,851,354,505.69/198,884.96
  6. Step 6: Final answer
    x = 245,626.19

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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.