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Finding the Fourth Proportional to 277,149.52, 415,413.24 and 137,006.56

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Solution

The fourth proportional to 277,149.52, 415,413.24 and 137,006.56 is: 205,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,149.52 : 415,413.24 = 137,006.56 : x
  2. Step 2: Convert to fraction form
    277,149.52/415,413.24 = 137,006.56/x
  3. Step 3: Cross multiply
    277,149.52x = 415,413.24 × 137,006.56
  4. Step 4: Simplify right side
    277,149.52x = 56,914,338,990.85
  5. Step 5: Solve for x
    x = 56,914,338,990.85/277,149.52
  6. Step 6: Final answer
    x = 205,356.08

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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.