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Finding the Fourth Proportional to 271,793.58, 407,558.49 and 113,979.66

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Solution

The fourth proportional to 271,793.58, 407,558.49 and 113,979.66 is: 170,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,793.58 : 407,558.49 = 113,979.66 : x
  2. Step 2: Convert to fraction form
    271,793.58/407,558.49 = 113,979.66/x
  3. Step 3: Cross multiply
    271,793.58x = 407,558.49 × 113,979.66
  4. Step 4: Simplify right side
    271,793.58x = 46,453,378,120.31
  5. Step 5: Solve for x
    x = 46,453,378,120.31/271,793.58
  6. Step 6: Final answer
    x = 170,914.18

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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.