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Finding the Fourth Proportional to 203,174.40, 304,958.56 and 98,067.20

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Solution

The fourth proportional to 203,174.40, 304,958.56 and 98,067.20 is: 147,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,174.40 : 304,958.56 = 98,067.20 : x
  2. Step 2: Convert to fraction form
    203,174.40/304,958.56 = 98,067.20/x
  3. Step 3: Cross multiply
    203,174.40x = 304,958.56 × 98,067.20
  4. Step 4: Simplify right side
    203,174.40x = 29,906,432,095.23
  5. Step 5: Solve for x
    x = 29,906,432,095.23/203,174.40
  6. Step 6: Final answer
    x = 147,195.87

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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.