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Finding the Fourth Proportional to 198,813.47, 298,210.49 and 74,144.75

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Solution

The fourth proportional to 198,813.47, 298,210.49 and 74,144.75 is: 111,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,813.47 : 298,210.49 = 74,144.75 : x
  2. Step 2: Convert to fraction form
    198,813.47/298,210.49 = 74,144.75/x
  3. Step 3: Cross multiply
    198,813.47x = 298,210.49 × 74,144.75
  4. Step 4: Simplify right side
    198,813.47x = 22,110,741,857.70
  5. Step 5: Solve for x
    x = 22,110,741,857.70/198,813.47
  6. Step 6: Final answer
    x = 111,213.50

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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.