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Finding the Fourth Proportional to 263,255.34, 394,924.01 and 85,721.05

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Solution

The fourth proportional to 263,255.34, 394,924.01 and 85,721.05 is: 128,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,255.34 : 394,924.01 = 85,721.05 : x
  2. Step 2: Convert to fraction form
    263,255.34/394,924.01 = 85,721.05/x
  3. Step 3: Cross multiply
    263,255.34x = 394,924.01 × 85,721.05
  4. Step 4: Simplify right side
    263,255.34x = 33,853,300,807.41
  5. Step 5: Solve for x
    x = 33,853,300,807.41/263,255.34
  6. Step 6: Final answer
    x = 128,594.93

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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.