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Finding the Fourth Proportional to 271,993.43, 408,071.65 and 109,803.97

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Solution

The fourth proportional to 271,993.43, 408,071.65 and 109,803.97 is: 164,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,993.43 : 408,071.65 = 109,803.97 : x
  2. Step 2: Convert to fraction form
    271,993.43/408,071.65 = 109,803.97/x
  3. Step 3: Cross multiply
    271,993.43x = 408,071.65 × 109,803.97
  4. Step 4: Simplify right side
    271,993.43x = 44,807,888,207.86
  5. Step 5: Solve for x
    x = 44,807,888,207.86/271,993.43
  6. Step 6: Final answer
    x = 164,738.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.