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Finding the Fourth Proportional to 133,149.20, 199,723.80 and 54,222.80

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Solution

The fourth proportional to 133,149.20, 199,723.80 and 54,222.80 is: 81,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,149.20 : 199,723.80 = 54,222.80 : x
  2. Step 2: Convert to fraction form
    133,149.20/199,723.80 = 54,222.80/x
  3. Step 3: Cross multiply
    133,149.20x = 199,723.80 × 54,222.80
  4. Step 4: Simplify right side
    133,149.20x = 10,829,583,662.64
  5. Step 5: Solve for x
    x = 10,829,583,662.64/133,149.20
  6. Step 6: Final answer
    x = 81,334.20

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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.