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Finding the Fourth Proportional to 83,414.40, 125,413.20 and 81,664.80

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Solution

The fourth proportional to 83,414.40, 125,413.20 and 81,664.80 is: 122,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414.40 : 125,413.20 = 81,664.80 : x
  2. Step 2: Convert to fraction form
    83,414.40/125,413.20 = 81,664.80/x
  3. Step 3: Cross multiply
    83,414.40x = 125,413.20 × 81,664.80
  4. Step 4: Simplify right side
    83,414.40x = 10,241,843,895.36
  5. Step 5: Solve for x
    x = 10,241,843,895.36/83,414.40
  6. Step 6: Final answer
    x = 122,782.68

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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.