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Finding the Fourth Proportional to 204,940.80, 308,067.30 and 146,183.40

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Solution

The fourth proportional to 204,940.80, 308,067.30 and 146,183.40 is: 219,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,940.80 : 308,067.30 = 146,183.40 : x
  2. Step 2: Convert to fraction form
    204,940.80/308,067.30 = 146,183.40/x
  3. Step 3: Cross multiply
    204,940.80x = 308,067.30 × 146,183.40
  4. Step 4: Simplify right side
    204,940.80x = 45,034,325,342.82
  5. Step 5: Solve for x
    x = 45,034,325,342.82/204,940.80
  6. Step 6: Final answer
    x = 219,743.09

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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.