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Finding the Fourth Proportional to 110,884.60, 166,351.20 and 54,751.60

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Solution

The fourth proportional to 110,884.60, 166,351.20 and 54,751.60 is: 82,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,884.60 : 166,351.20 = 54,751.60 : x
  2. Step 2: Convert to fraction form
    110,884.60/166,351.20 = 54,751.60/x
  3. Step 3: Cross multiply
    110,884.60x = 166,351.20 × 54,751.60
  4. Step 4: Simplify right side
    110,884.60x = 9,107,994,361.92
  5. Step 5: Solve for x
    x = 9,107,994,361.92/110,884.60
  6. Step 6: Final answer
    x = 82,139.40

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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.