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Finding the Fourth Proportional to 263,718.82, 363,910.35 and 149,007.43

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Solution

The fourth proportional to 263,718.82, 363,910.35 and 149,007.43 is: 205,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,718.82 : 363,910.35 = 149,007.43 : x
  2. Step 2: Convert to fraction form
    263,718.82/363,910.35 = 149,007.43/x
  3. Step 3: Cross multiply
    263,718.82x = 363,910.35 × 149,007.43
  4. Step 4: Simplify right side
    263,718.82x = 54,225,346,003.90
  5. Step 5: Solve for x
    x = 54,225,346,003.90/263,718.82
  6. Step 6: Final answer
    x = 205,618.04

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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.