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Finding the Fourth Proportional to 227,698.20, 340,891.20 and 204,078.60

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Solution

The fourth proportional to 227,698.20, 340,891.20 and 204,078.60 is: 305,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698.20 : 340,891.20 = 204,078.60 : x
  2. Step 2: Convert to fraction form
    227,698.20/340,891.20 = 204,078.60/x
  3. Step 3: Cross multiply
    227,698.20x = 340,891.20 × 204,078.60
  4. Step 4: Simplify right side
    227,698.20x = 69,568,598,848.32
  5. Step 5: Solve for x
    x = 69,568,598,848.32/227,698.20
  6. Step 6: Final answer
    x = 305,529.86

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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.