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Finding the Fourth Proportional to 271,219.67, 406,856.84 and 71,553.86

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Solution

The fourth proportional to 271,219.67, 406,856.84 and 71,553.86 is: 107,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,219.67 : 406,856.84 = 71,553.86 : x
  2. Step 2: Convert to fraction form
    271,219.67/406,856.84 = 71,553.86/x
  3. Step 3: Cross multiply
    271,219.67x = 406,856.84 × 71,553.86
  4. Step 4: Simplify right side
    271,219.67x = 29,112,174,977.35
  5. Step 5: Solve for x
    x = 29,112,174,977.35/271,219.67
  6. Step 6: Final answer
    x = 107,337.99

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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.