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Finding the Fourth Proportional to 273,811.96, 410,819.86 and 167,413.96

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Solution

The fourth proportional to 273,811.96, 410,819.86 and 167,413.96 is: 251,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,811.96 : 410,819.86 = 167,413.96 : x
  2. Step 2: Convert to fraction form
    273,811.96/410,819.86 = 167,413.96/x
  3. Step 3: Cross multiply
    273,811.96x = 410,819.86 × 167,413.96
  4. Step 4: Simplify right side
    273,811.96x = 68,776,979,609.25
  5. Step 5: Solve for x
    x = 68,776,979,609.25/273,811.96
  6. Step 6: Final answer
    x = 251,183.26

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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.