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Finding the Fourth Proportional to 263,041.92, 394,692.48 and 122,780.16

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Solution

The fourth proportional to 263,041.92, 394,692.48 and 122,780.16 is: 184,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,041.92 : 394,692.48 = 122,780.16 : x
  2. Step 2: Convert to fraction form
    263,041.92/394,692.48 = 122,780.16/x
  3. Step 3: Cross multiply
    263,041.92x = 394,692.48 × 122,780.16
  4. Step 4: Simplify right side
    263,041.92x = 48,460,405,845.20
  5. Step 5: Solve for x
    x = 48,460,405,845.20/263,041.92
  6. Step 6: Final answer
    x = 184,230.73

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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.