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Finding the Fourth Proportional to 271,028.84, 406,563.30 and 81,474.26

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Solution

The fourth proportional to 271,028.84, 406,563.30 and 81,474.26 is: 122,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,028.84 : 406,563.30 = 81,474.26 : x
  2. Step 2: Convert to fraction form
    271,028.84/406,563.30 = 81,474.26/x
  3. Step 3: Cross multiply
    271,028.84x = 406,563.30 × 81,474.26
  4. Step 4: Simplify right side
    271,028.84x = 33,124,441,977.84
  5. Step 5: Solve for x
    x = 33,124,441,977.84/271,028.84
  6. Step 6: Final answer
    x = 122,217.41

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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.