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Finding the Fourth Proportional to 299,780.20, 449,729.34 and 89,413.48

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Solution

The fourth proportional to 299,780.20, 449,729.34 and 89,413.48 is: 134,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.20 : 449,729.34 = 89,413.48 : x
  2. Step 2: Convert to fraction form
    299,780.20/449,729.34 = 89,413.48/x
  3. Step 3: Cross multiply
    299,780.20x = 449,729.34 × 89,413.48
  4. Step 4: Simplify right side
    299,780.20x = 40,211,865,347.50
  5. Step 5: Solve for x
    x = 40,211,865,347.50/299,780.20
  6. Step 6: Final answer
    x = 134,137.83

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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.