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Finding the Fourth Proportional to 181,454.96, 250,413.27 and 99,778.97

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Solution

The fourth proportional to 181,454.96, 250,413.27 and 99,778.97 is: 137,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,454.96 : 250,413.27 = 99,778.97 : x
  2. Step 2: Convert to fraction form
    181,454.96/250,413.27 = 99,778.97/x
  3. Step 3: Cross multiply
    181,454.96x = 250,413.27 × 99,778.97
  4. Step 4: Simplify right side
    181,454.96x = 24,985,978,154.93
  5. Step 5: Solve for x
    x = 24,985,978,154.93/181,454.96
  6. Step 6: Final answer
    x = 137,697.96

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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.