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Finding the Fourth Proportional to 203,153.78, 304,727.42 and 68,227.22

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Solution

The fourth proportional to 203,153.78, 304,727.42 and 68,227.22 is: 102,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,153.78 : 304,727.42 = 68,227.22 : x
  2. Step 2: Convert to fraction form
    203,153.78/304,727.42 = 68,227.22/x
  3. Step 3: Cross multiply
    203,153.78x = 304,727.42 × 68,227.22
  4. Step 4: Simplify right side
    203,153.78x = 20,790,704,724.37
  5. Step 5: Solve for x
    x = 20,790,704,724.37/203,153.78
  6. Step 6: Final answer
    x = 102,339.74

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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.