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Finding the Fourth Proportional to 203,926.10, 305,889.15 and 133,067.30

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Solution

The fourth proportional to 203,926.10, 305,889.15 and 133,067.30 is: 199,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,926.10 : 305,889.15 = 133,067.30 : x
  2. Step 2: Convert to fraction form
    203,926.10/305,889.15 = 133,067.30/x
  3. Step 3: Cross multiply
    203,926.10x = 305,889.15 × 133,067.30
  4. Step 4: Simplify right side
    203,926.10x = 40,703,843,289.80
  5. Step 5: Solve for x
    x = 40,703,843,289.80/203,926.10
  6. Step 6: Final answer
    x = 199,600.95

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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.