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Finding the Fourth Proportional to 271,504.93, 407,257.90 and 111,469.43

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Solution

The fourth proportional to 271,504.93, 407,257.90 and 111,469.43 is: 167,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504.93 : 407,257.90 = 111,469.43 : x
  2. Step 2: Convert to fraction form
    271,504.93/407,257.90 = 111,469.43/x
  3. Step 3: Cross multiply
    271,504.93x = 407,257.90 × 111,469.43
  4. Step 4: Simplify right side
    271,504.93x = 45,396,805,976.00
  5. Step 5: Solve for x
    x = 45,396,805,976.00/271,504.93
  6. Step 6: Final answer
    x = 167,204.35

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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.