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Finding the Fourth Proportional to 263,694.82, 363,872.78 and 147,386.52

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Solution

The fourth proportional to 263,694.82, 363,872.78 and 147,386.52 is: 203,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,694.82 : 363,872.78 = 147,386.52 : x
  2. Step 2: Convert to fraction form
    263,694.82/363,872.78 = 147,386.52/x
  3. Step 3: Cross multiply
    263,694.82x = 363,872.78 × 147,386.52
  4. Step 4: Simplify right side
    263,694.82x = 53,629,940,947.56
  5. Step 5: Solve for x
    x = 53,629,940,947.56/263,694.82
  6. Step 6: Final answer
    x = 203,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.