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Finding the Fourth Proportional to 271,951.80, 407,765.70 and 166,846.20

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Solution

The fourth proportional to 271,951.80, 407,765.70 and 166,846.20 is: 250,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,951.80 : 407,765.70 = 166,846.20 : x
  2. Step 2: Convert to fraction form
    271,951.80/407,765.70 = 166,846.20/x
  3. Step 3: Cross multiply
    271,951.80x = 407,765.70 × 166,846.20
  4. Step 4: Simplify right side
    271,951.80x = 68,034,157,535.34
  5. Step 5: Solve for x
    x = 68,034,157,535.34/271,951.80
  6. Step 6: Final answer
    x = 250,169.91

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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.