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Finding the Fourth Proportional to 271,137.24, 406,648.08 and 171,163.80

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Solution

The fourth proportional to 271,137.24, 406,648.08 and 171,163.80 is: 256,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,137.24 : 406,648.08 = 171,163.80 : x
  2. Step 2: Convert to fraction form
    271,137.24/406,648.08 = 171,163.80/x
  3. Step 3: Cross multiply
    271,137.24x = 406,648.08 × 171,163.80
  4. Step 4: Simplify right side
    271,137.24x = 69,603,430,635.50
  5. Step 5: Solve for x
    x = 69,603,430,635.50/271,137.24
  6. Step 6: Final answer
    x = 256,709.22

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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.