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Finding the Fourth Proportional to 278,401.20, 417,796.20 and 120,742.80

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Solution

The fourth proportional to 278,401.20, 417,796.20 and 120,742.80 is: 181,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,401.20 : 417,796.20 = 120,742.80 : x
  2. Step 2: Convert to fraction form
    278,401.20/417,796.20 = 120,742.80/x
  3. Step 3: Cross multiply
    278,401.20x = 417,796.20 × 120,742.80
  4. Step 4: Simplify right side
    278,401.20x = 50,445,883,017.36
  5. Step 5: Solve for x
    x = 50,445,883,017.36/278,401.20
  6. Step 6: Final answer
    x = 181,198.51

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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.