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Finding the Fourth Proportional to 263,043.92, 394,695.48 and 122,782.16

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Solution

The fourth proportional to 263,043.92, 394,695.48 and 122,782.16 is: 184,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,043.92 : 394,695.48 = 122,782.16 : x
  2. Step 2: Convert to fraction form
    263,043.92/394,695.48 = 122,782.16/x
  3. Step 3: Cross multiply
    263,043.92x = 394,695.48 × 122,782.16
  4. Step 4: Simplify right side
    263,043.92x = 48,461,563,576.64
  5. Step 5: Solve for x
    x = 48,461,563,576.64/263,043.92
  6. Step 6: Final answer
    x = 184,233.73

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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.