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Finding the Fourth Proportional to 263,147.94, 394,729.20 and 85,665.60

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Solution

The fourth proportional to 263,147.94, 394,729.20 and 85,665.60 is: 128,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,147.94 : 394,729.20 = 85,665.60 : x
  2. Step 2: Convert to fraction form
    263,147.94/394,729.20 = 85,665.60/x
  3. Step 3: Cross multiply
    263,147.94x = 394,729.20 × 85,665.60
  4. Step 4: Simplify right side
    263,147.94x = 33,814,713,755.52
  5. Step 5: Solve for x
    x = 33,814,713,755.52/263,147.94
  6. Step 6: Final answer
    x = 128,500.77

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1.5x scale

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.