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Finding the Fourth Proportional to 263,694.19, 363,871.92 and 147,385.89

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Solution

The fourth proportional to 263,694.19, 363,871.92 and 147,385.89 is: 203,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,694.19 : 363,871.92 = 147,385.89 : x
  2. Step 2: Convert to fraction form
    263,694.19/363,871.92 = 147,385.89/x
  3. Step 3: Cross multiply
    263,694.19x = 363,871.92 × 147,385.89
  4. Step 4: Simplify right side
    263,694.19x = 53,629,586,775.21
  5. Step 5: Solve for x
    x = 53,629,586,775.21/263,694.19
  6. Step 6: Final answer
    x = 203,377.96

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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.