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Finding the Fourth Proportional to 262,942.40, 394,413.60 and 75,972.80

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Solution

The fourth proportional to 262,942.40, 394,413.60 and 75,972.80 is: 113,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,942.40 : 394,413.60 = 75,972.80 : x
  2. Step 2: Convert to fraction form
    262,942.40/394,413.60 = 75,972.80/x
  3. Step 3: Cross multiply
    262,942.40x = 394,413.60 × 75,972.80
  4. Step 4: Simplify right side
    262,942.40x = 29,964,705,550.08
  5. Step 5: Solve for x
    x = 29,964,705,550.08/262,942.40
  6. Step 6: Final answer
    x = 113,959.20

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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.