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Finding the Fourth Proportional to 133,232.64, 199,750.12 and 80,629.64

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Solution

The fourth proportional to 133,232.64, 199,750.12 and 80,629.64 is: 120,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232.64 : 199,750.12 = 80,629.64 : x
  2. Step 2: Convert to fraction form
    133,232.64/199,750.12 = 80,629.64/x
  3. Step 3: Cross multiply
    133,232.64x = 199,750.12 × 80,629.64
  4. Step 4: Simplify right side
    133,232.64x = 16,105,780,265.56
  5. Step 5: Solve for x
    x = 16,105,780,265.56/133,232.64
  6. Step 6: Final answer
    x = 120,884.64

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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.