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Finding the Fourth Proportional to 271,452.80, 407,049.57 and 159,167.21

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Solution

The fourth proportional to 271,452.80, 407,049.57 and 159,167.21 is: 238,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,452.80 : 407,049.57 = 159,167.21 : x
  2. Step 2: Convert to fraction form
    271,452.80/407,049.57 = 159,167.21/x
  3. Step 3: Cross multiply
    271,452.80x = 407,049.57 × 159,167.21
  4. Step 4: Simplify right side
    271,452.80x = 64,788,942,353.35
  5. Step 5: Solve for x
    x = 64,788,942,353.35/271,452.80
  6. Step 6: Final answer
    x = 238,674.80

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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.