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Finding the Fourth Proportional to 271,149.46, 406,777.39 and 100,372.66

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Solution

The fourth proportional to 271,149.46, 406,777.39 and 100,372.66 is: 150,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,149.46 : 406,777.39 = 100,372.66 : x
  2. Step 2: Convert to fraction form
    271,149.46/406,777.39 = 100,372.66/x
  3. Step 3: Cross multiply
    271,149.46x = 406,777.39 × 100,372.66
  4. Step 4: Simplify right side
    271,149.46x = 40,829,328,662.16
  5. Step 5: Solve for x
    x = 40,829,328,662.16/271,149.46
  6. Step 6: Final answer
    x = 150,578.68

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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.