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Finding the Fourth Proportional to 276,119.20, 413,257.20 and 193,175.20

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Solution

The fourth proportional to 276,119.20, 413,257.20 and 193,175.20 is: 289,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,119.20 : 413,257.20 = 193,175.20 : x
  2. Step 2: Convert to fraction form
    276,119.20/413,257.20 = 193,175.20/x
  3. Step 3: Cross multiply
    276,119.20x = 413,257.20 × 193,175.20
  4. Step 4: Simplify right side
    276,119.20x = 79,831,042,261.44
  5. Step 5: Solve for x
    x = 79,831,042,261.44/276,119.20
  6. Step 6: Final answer
    x = 289,118.04

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1.5x scale

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.