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Finding the Fourth Proportional to 271,791.56, 407,736.32 and 111,839.24

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Solution

The fourth proportional to 271,791.56, 407,736.32 and 111,839.24 is: 167,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,791.56 : 407,736.32 = 111,839.24 : x
  2. Step 2: Convert to fraction form
    271,791.56/407,736.32 = 111,839.24/x
  3. Step 3: Cross multiply
    271,791.56x = 407,736.32 × 111,839.24
  4. Step 4: Simplify right side
    271,791.56x = 45,600,920,149.20
  5. Step 5: Solve for x
    x = 45,600,920,149.20/271,791.56
  6. Step 6: Final answer
    x = 167,779.01

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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.