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Finding the Fourth Proportional to 262,997.28, 394,212.96 and 113,308.08

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Solution

The fourth proportional to 262,997.28, 394,212.96 and 113,308.08 is: 169,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,997.28 : 394,212.96 = 113,308.08 : x
  2. Step 2: Convert to fraction form
    262,997.28/394,212.96 = 113,308.08/x
  3. Step 3: Cross multiply
    262,997.28x = 394,212.96 × 113,308.08
  4. Step 4: Simplify right side
    262,997.28x = 44,667,513,608.72
  5. Step 5: Solve for x
    x = 44,667,513,608.72/262,997.28
  6. Step 6: Final answer
    x = 169,840.21

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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.