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Finding the Fourth Proportional to 263,302.94, 394,596.43 and 111,373.67

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Solution

The fourth proportional to 263,302.94, 394,596.43 and 111,373.67 is: 166,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,302.94 : 394,596.43 = 111,373.67 : x
  2. Step 2: Convert to fraction form
    263,302.94/394,596.43 = 111,373.67/x
  3. Step 3: Cross multiply
    263,302.94x = 394,596.43 × 111,373.67
  4. Step 4: Simplify right side
    263,302.94x = 43,947,650,605.02
  5. Step 5: Solve for x
    x = 43,947,650,605.02/263,302.94
  6. Step 6: Final answer
    x = 166,909.08

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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.