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Finding the Fourth Proportional to 276,859.20, 415,483.20 and 119,200.80

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Solution

The fourth proportional to 276,859.20, 415,483.20 and 119,200.80 is: 178,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,859.20 : 415,483.20 = 119,200.80 : x
  2. Step 2: Convert to fraction form
    276,859.20/415,483.20 = 119,200.80/x
  3. Step 3: Cross multiply
    276,859.20x = 415,483.20 × 119,200.80
  4. Step 4: Simplify right side
    276,859.20x = 49,525,929,826.56
  5. Step 5: Solve for x
    x = 49,525,929,826.56/276,859.20
  6. Step 6: Final answer
    x = 178,884.90

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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.