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Finding the Fourth Proportional to 241,078.92, 332,961.24 and 164,466.44

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Solution

The fourth proportional to 241,078.92, 332,961.24 and 164,466.44 is: 227,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,078.92 : 332,961.24 = 164,466.44 : x
  2. Step 2: Convert to fraction form
    241,078.92/332,961.24 = 164,466.44/x
  3. Step 3: Cross multiply
    241,078.92x = 332,961.24 × 164,466.44
  4. Step 4: Simplify right side
    241,078.92x = 54,760,949,800.79
  5. Step 5: Solve for x
    x = 54,760,949,800.79/241,078.92
  6. Step 6: Final answer
    x = 227,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.