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Finding the Fourth Proportional to 263,190.32, 394,692.24 and 85,664.24

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Solution

The fourth proportional to 263,190.32, 394,692.24 and 85,664.24 is: 128,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,190.32 : 394,692.24 = 85,664.24 : x
  2. Step 2: Convert to fraction form
    263,190.32/394,692.24 = 85,664.24/x
  3. Step 3: Cross multiply
    263,190.32x = 394,692.24 × 85,664.24
  4. Step 4: Simplify right side
    263,190.32x = 33,811,010,773.50
  5. Step 5: Solve for x
    x = 33,811,010,773.50/263,190.32
  6. Step 6: Final answer
    x = 128,466.01

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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.