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Finding the Fourth Proportional to 263,234.48, 394,921.71 and 83,323.35

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Solution

The fourth proportional to 263,234.48, 394,921.71 and 83,323.35 is: 125,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,234.48 : 394,921.71 = 83,323.35 : x
  2. Step 2: Convert to fraction form
    263,234.48/394,921.71 = 83,323.35/x
  3. Step 3: Cross multiply
    263,234.48x = 394,921.71 × 83,323.35
  4. Step 4: Simplify right side
    263,234.48x = 32,906,199,864.93
  5. Step 5: Solve for x
    x = 32,906,199,864.93/263,234.48
  6. Step 6: Final answer
    x = 125,007.18

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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.