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Finding the Fourth Proportional to 271,765.36, 407,648.04 and 84,791.44

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Solution

The fourth proportional to 271,765.36, 407,648.04 and 84,791.44 is: 127,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,765.36 : 407,648.04 = 84,791.44 : x
  2. Step 2: Convert to fraction form
    271,765.36/407,648.04 = 84,791.44/x
  3. Step 3: Cross multiply
    271,765.36x = 407,648.04 × 84,791.44
  4. Step 4: Simplify right side
    271,765.36x = 34,565,064,324.78
  5. Step 5: Solve for x
    x = 34,565,064,324.78/271,765.36
  6. Step 6: Final answer
    x = 127,187.16

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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.