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Finding the Fourth Proportional to 263,093.92, 363,079.44 and 149,913.76

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Solution

The fourth proportional to 263,093.92, 363,079.44 and 149,913.76 is: 206,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,093.92 : 363,079.44 = 149,913.76 : x
  2. Step 2: Convert to fraction form
    263,093.92/363,079.44 = 149,913.76/x
  3. Step 3: Cross multiply
    263,093.92x = 363,079.44 × 149,913.76
  4. Step 4: Simplify right side
    263,093.92x = 54,430,604,029.09
  5. Step 5: Solve for x
    x = 54,430,604,029.09/263,093.92
  6. Step 6: Final answer
    x = 206,886.59

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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.