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Finding the Fourth Proportional to 263,199.32, 394,949.46 and 111,384.44

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Solution

The fourth proportional to 263,199.32, 394,949.46 and 111,384.44 is: 167,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,199.32 : 394,949.46 = 111,384.44 : x
  2. Step 2: Convert to fraction form
    263,199.32/394,949.46 = 111,384.44/x
  3. Step 3: Cross multiply
    263,199.32x = 394,949.46 × 111,384.44
  4. Step 4: Simplify right side
    263,199.32x = 43,991,224,430.40
  5. Step 5: Solve for x
    x = 43,991,224,430.40/263,199.32
  6. Step 6: Final answer
    x = 167,140.34

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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.