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Finding the Fourth Proportional to 146,467.60, 220,171.20 and 136,067.20

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Solution

The fourth proportional to 146,467.60, 220,171.20 and 136,067.20 is: 204,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,467.60 : 220,171.20 = 136,067.20 : x
  2. Step 2: Convert to fraction form
    146,467.60/220,171.20 = 136,067.20/x
  3. Step 3: Cross multiply
    146,467.60x = 220,171.20 × 136,067.20
  4. Step 4: Simplify right side
    146,467.60x = 29,958,078,704.64
  5. Step 5: Solve for x
    x = 29,958,078,704.64/146,467.60
  6. Step 6: Final answer
    x = 204,537.24

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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.