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Finding the Fourth Proportional to 271,286.92, 406,603.97 and 100,372.37

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Solution

The fourth proportional to 271,286.92, 406,603.97 and 100,372.37 is: 150,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,286.92 : 406,603.97 = 100,372.37 : x
  2. Step 2: Convert to fraction form
    271,286.92/406,603.97 = 100,372.37/x
  3. Step 3: Cross multiply
    271,286.92x = 406,603.97 × 100,372.37
  4. Step 4: Simplify right side
    271,286.92x = 40,811,801,961.82
  5. Step 5: Solve for x
    x = 40,811,801,961.82/271,286.92
  6. Step 6: Final answer
    x = 150,437.78

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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.