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Finding the Fourth Proportional to 271,222.56, 406,828.44 and 84,233.52

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Solution

The fourth proportional to 271,222.56, 406,828.44 and 84,233.52 is: 126,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,222.56 : 406,828.44 = 84,233.52 : x
  2. Step 2: Convert to fraction form
    271,222.56/406,828.44 = 84,233.52/x
  3. Step 3: Cross multiply
    271,222.56x = 406,828.44 × 84,233.52
  4. Step 4: Simplify right side
    271,222.56x = 34,268,591,537.31
  5. Step 5: Solve for x
    x = 34,268,591,537.31/271,222.56
  6. Step 6: Final answer
    x = 126,348.60

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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.