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Finding the Fourth Proportional to 199,413.67, 275,191.72 and 108,771.58

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Solution

The fourth proportional to 199,413.67, 275,191.72 and 108,771.58 is: 150,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.67 : 275,191.72 = 108,771.58 : x
  2. Step 2: Convert to fraction form
    199,413.67/275,191.72 = 108,771.58/x
  3. Step 3: Cross multiply
    199,413.67x = 275,191.72 × 108,771.58
  4. Step 4: Simplify right side
    199,413.67x = 29,933,037,227.41
  5. Step 5: Solve for x
    x = 29,933,037,227.41/199,413.67
  6. Step 6: Final answer
    x = 150,105.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.