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Finding the Fourth Proportional to 262,893.34, 394,171.56 and 111,049.16

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Solution

The fourth proportional to 262,893.34, 394,171.56 and 111,049.16 is: 166,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.34 : 394,171.56 = 111,049.16 : x
  2. Step 2: Convert to fraction form
    262,893.34/394,171.56 = 111,049.16/x
  3. Step 3: Cross multiply
    262,893.34x = 394,171.56 × 111,049.16
  4. Step 4: Simplify right side
    262,893.34x = 43,772,420,633.89
  5. Step 5: Solve for x
    x = 43,772,420,633.89/262,893.34
  6. Step 6: Final answer
    x = 166,502.59

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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.