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Finding the Fourth Proportional to 271,450.80, 407,046.57 and 159,165.21

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Solution

The fourth proportional to 271,450.80, 407,046.57 and 159,165.21 is: 238,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,450.80 : 407,046.57 = 159,165.21 : x
  2. Step 2: Convert to fraction form
    271,450.80/407,046.57 = 159,165.21/x
  3. Step 3: Cross multiply
    271,450.80x = 407,046.57 × 159,165.21
  4. Step 4: Simplify right side
    271,450.80x = 64,787,652,793.83
  5. Step 5: Solve for x
    x = 64,787,652,793.83/271,450.80
  6. Step 6: Final answer
    x = 238,671.81

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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.