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Finding the Fourth Proportional to 273,620.25, 410,413.95 and 84,082.41

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Solution

The fourth proportional to 273,620.25, 410,413.95 and 84,082.41 is: 126,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,620.25 : 410,413.95 = 84,082.41 : x
  2. Step 2: Convert to fraction form
    273,620.25/410,413.95 = 84,082.41/x
  3. Step 3: Cross multiply
    273,620.25x = 410,413.95 × 84,082.41
  4. Step 4: Simplify right side
    273,620.25x = 34,508,594,013.62
  5. Step 5: Solve for x
    x = 34,508,594,013.62/273,620.25
  6. Step 6: Final answer
    x = 126,118.57

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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.