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Finding the Fourth Proportional to 129,762.40, 194,413.20 and 80,456.80

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Solution

The fourth proportional to 129,762.40, 194,413.20 and 80,456.80 is: 120,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762.40 : 194,413.20 = 80,456.80 : x
  2. Step 2: Convert to fraction form
    129,762.40/194,413.20 = 80,456.80/x
  3. Step 3: Cross multiply
    129,762.40x = 194,413.20 × 80,456.80
  4. Step 4: Simplify right side
    129,762.40x = 15,641,863,949.76
  5. Step 5: Solve for x
    x = 15,641,863,949.76/129,762.40
  6. Step 6: Final answer
    x = 120,542.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.