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Finding the Fourth Proportional to 263,129.04, 363,411.90 and 178,098.48

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Solution

The fourth proportional to 263,129.04, 363,411.90 and 178,098.48 is: 245,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,129.04 : 363,411.90 = 178,098.48 : x
  2. Step 2: Convert to fraction form
    263,129.04/363,411.90 = 178,098.48/x
  3. Step 3: Cross multiply
    263,129.04x = 363,411.90 × 178,098.48
  4. Step 4: Simplify right side
    263,129.04x = 64,723,107,003.91
  5. Step 5: Solve for x
    x = 64,723,107,003.91/263,129.04
  6. Step 6: Final answer
    x = 245,974.78

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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.