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Finding the Fourth Proportional to 234,234.36, 351,367.20 and 82,413.36

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Solution

The fourth proportional to 234,234.36, 351,367.20 and 82,413.36 is: 123,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,234.36 : 351,367.20 = 82,413.36 : x
  2. Step 2: Convert to fraction form
    234,234.36/351,367.20 = 82,413.36/x
  3. Step 3: Cross multiply
    234,234.36x = 351,367.20 × 82,413.36
  4. Step 4: Simplify right side
    234,234.36x = 28,957,351,545.79
  5. Step 5: Solve for x
    x = 28,957,351,545.79/234,234.36
  6. Step 6: Final answer
    x = 123,625.55

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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.