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Finding the Fourth Proportional to 144,917.20, 217,414.20 and 51,413.20

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Solution

The fourth proportional to 144,917.20, 217,414.20 and 51,413.20 is: 77,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,917.20 : 217,414.20 = 51,413.20 : x
  2. Step 2: Convert to fraction form
    144,917.20/217,414.20 = 51,413.20/x
  3. Step 3: Cross multiply
    144,917.20x = 217,414.20 × 51,413.20
  4. Step 4: Simplify right side
    144,917.20x = 11,177,959,747.44
  5. Step 5: Solve for x
    x = 11,177,959,747.44/144,917.20
  6. Step 6: Final answer
    x = 77,133.42

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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.