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Finding the Fourth Proportional to 263,202.30, 394,803.52 and 73,690.59

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Solution

The fourth proportional to 263,202.30, 394,803.52 and 73,690.59 is: 110,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,202.30 : 394,803.52 = 73,690.59 : x
  2. Step 2: Convert to fraction form
    263,202.30/394,803.52 = 73,690.59/x
  3. Step 3: Cross multiply
    263,202.30x = 394,803.52 × 73,690.59
  4. Step 4: Simplify right side
    263,202.30x = 29,093,302,658.14
  5. Step 5: Solve for x
    x = 29,093,302,658.14/263,202.30
  6. Step 6: Final answer
    x = 110,535.90

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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.