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Finding the Fourth Proportional to 273,924.12, 410,147.82 and 178,919.04

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Solution

The fourth proportional to 273,924.12, 410,147.82 and 178,919.04 is: 267,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,924.12 : 410,147.82 = 178,919.04 : x
  2. Step 2: Convert to fraction form
    273,924.12/410,147.82 = 178,919.04/x
  3. Step 3: Cross multiply
    273,924.12x = 410,147.82 × 178,919.04
  4. Step 4: Simplify right side
    273,924.12x = 73,383,254,212.49
  5. Step 5: Solve for x
    x = 73,383,254,212.49/273,924.12
  6. Step 6: Final answer
    x = 267,896.29

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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.