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Finding the Fourth Proportional to 263,233.82, 394,892.01 and 113,516.66

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Solution

The fourth proportional to 263,233.82, 394,892.01 and 113,516.66 is: 170,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,233.82 : 394,892.01 = 113,516.66 : x
  2. Step 2: Convert to fraction form
    263,233.82/394,892.01 = 113,516.66/x
  3. Step 3: Cross multiply
    263,233.82x = 394,892.01 × 113,516.66
  4. Step 4: Simplify right side
    263,233.82x = 44,826,820,061.43
  5. Step 5: Solve for x
    x = 44,826,820,061.43/263,233.82
  6. Step 6: Final answer
    x = 170,292.79

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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.