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Finding the Fourth Proportional to 299,850.80, 449,776.20 and 78,234.80

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Solution

The fourth proportional to 299,850.80, 449,776.20 and 78,234.80 is: 117,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,850.80 : 449,776.20 = 78,234.80 : x
  2. Step 2: Convert to fraction form
    299,850.80/449,776.20 = 78,234.80/x
  3. Step 3: Cross multiply
    299,850.80x = 449,776.20 × 78,234.80
  4. Step 4: Simplify right side
    299,850.80x = 35,188,151,051.76
  5. Step 5: Solve for x
    x = 35,188,151,051.76/299,850.80
  6. Step 6: Final answer
    x = 117,352.20

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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.