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Finding the Fourth Proportional to 271,759, 407,194.56 and 165,175.56

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Solution

The fourth proportional to 271,759, 407,194.56 and 165,175.56 is: 247,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,759 : 407,194.56 = 165,175.56 : x
  2. Step 2: Convert to fraction form
    271,759/407,194.56 = 165,175.56/x
  3. Step 3: Cross multiply
    271,759x = 407,194.56 × 165,175.56
  4. Step 4: Simplify right side
    271,759x = 67,258,589,476.95
  5. Step 5: Solve for x
    x = 67,258,589,476.95/271,759
  6. Step 6: Final answer
    x = 247,493.51

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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.