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Finding the Fourth Proportional to 279,704.70, 419,557.05 and 80,031.60

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Solution

The fourth proportional to 279,704.70, 419,557.05 and 80,031.60 is: 120,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,704.70 : 419,557.05 = 80,031.60 : x
  2. Step 2: Convert to fraction form
    279,704.70/419,557.05 = 80,031.60/x
  3. Step 3: Cross multiply
    279,704.70x = 419,557.05 × 80,031.60
  4. Step 4: Simplify right side
    279,704.70x = 33,577,822,002.78
  5. Step 5: Solve for x
    x = 33,577,822,002.78/279,704.70
  6. Step 6: Final answer
    x = 120,047.40

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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.