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Finding the Fourth Proportional to 299,780.80, 449,671.20 and 78,164.80

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Solution

The fourth proportional to 299,780.80, 449,671.20 and 78,164.80 is: 117,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.80 : 449,671.20 = 78,164.80 : x
  2. Step 2: Convert to fraction form
    299,780.80/449,671.20 = 78,164.80/x
  3. Step 3: Cross multiply
    299,780.80x = 449,671.20 × 78,164.80
  4. Step 4: Simplify right side
    299,780.80x = 35,148,459,413.76
  5. Step 5: Solve for x
    x = 35,148,459,413.76/299,780.80
  6. Step 6: Final answer
    x = 117,247.20

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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.