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Finding the Fourth Proportional to 271,960.55, 408,014.64 and 82,413.26

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Solution

The fourth proportional to 271,960.55, 408,014.64 and 82,413.26 is: 123,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,960.55 : 408,014.64 = 82,413.26 : x
  2. Step 2: Convert to fraction form
    271,960.55/408,014.64 = 82,413.26/x
  3. Step 3: Cross multiply
    271,960.55x = 408,014.64 × 82,413.26
  4. Step 4: Simplify right side
    271,960.55x = 33,625,816,198.06
  5. Step 5: Solve for x
    x = 33,625,816,198.06/271,960.55
  6. Step 6: Final answer
    x = 123,642.26

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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.