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Finding the Fourth Proportional to 198,294.27, 297,736.61 and 80,196.27

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Solution

The fourth proportional to 198,294.27, 297,736.61 and 80,196.27 is: 120,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,294.27 : 297,736.61 = 80,196.27 : x
  2. Step 2: Convert to fraction form
    198,294.27/297,736.61 = 80,196.27/x
  3. Step 3: Cross multiply
    198,294.27x = 297,736.61 × 80,196.27
  4. Step 4: Simplify right side
    198,294.27x = 23,877,365,163.46
  5. Step 5: Solve for x
    x = 23,877,365,163.46/198,294.27
  6. Step 6: Final answer
    x = 120,413.79

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1.5x scale

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.