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Finding the Fourth Proportional to 274,852.58, 412,544.91 and 132,797.78

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Solution

The fourth proportional to 274,852.58, 412,544.91 and 132,797.78 is: 199,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,852.58 : 412,544.91 = 132,797.78 : x
  2. Step 2: Convert to fraction form
    274,852.58/412,544.91 = 132,797.78/x
  3. Step 3: Cross multiply
    274,852.58x = 412,544.91 × 132,797.78
  4. Step 4: Simplify right side
    274,852.58x = 54,785,048,198.30
  5. Step 5: Solve for x
    x = 54,785,048,198.30/274,852.58
  6. Step 6: Final answer
    x = 199,325.21

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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.