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Finding the Fourth Proportional to 103,678.60, 155,517.90 and 82,942.60

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Solution

The fourth proportional to 103,678.60, 155,517.90 and 82,942.60 is: 124,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.60 : 155,517.90 = 82,942.60 : x
  2. Step 2: Convert to fraction form
    103,678.60/155,517.90 = 82,942.60/x
  3. Step 3: Cross multiply
    103,678.60x = 155,517.90 × 82,942.60
  4. Step 4: Simplify right side
    103,678.60x = 12,899,058,972.54
  5. Step 5: Solve for x
    x = 12,899,058,972.54/103,678.60
  6. Step 6: Final answer
    x = 124,413.90

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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.