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Finding the Fourth Proportional to 198,940.56, 298,413.99 and 110,754.57

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Solution

The fourth proportional to 198,940.56, 298,413.99 and 110,754.57 is: 166,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,940.56 : 298,413.99 = 110,754.57 : x
  2. Step 2: Convert to fraction form
    198,940.56/298,413.99 = 110,754.57/x
  3. Step 3: Cross multiply
    198,940.56x = 298,413.99 × 110,754.57
  4. Step 4: Simplify right side
    198,940.56x = 33,050,713,144.43
  5. Step 5: Solve for x
    x = 33,050,713,144.43/198,940.56
  6. Step 6: Final answer
    x = 166,133.61

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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.