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Finding the Fourth Proportional to 133,013, 199,557 and 54,183.80

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Solution

The fourth proportional to 133,013, 199,557 and 54,183.80 is: 81,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,013 : 199,557 = 54,183.80 : x
  2. Step 2: Convert to fraction form
    133,013/199,557 = 54,183.80/x
  3. Step 3: Cross multiply
    133,013x = 199,557 × 54,183.80
  4. Step 4: Simplify right side
    133,013x = 10,812,756,576.60
  5. Step 5: Solve for x
    x = 10,812,756,576.60/133,013
  6. Step 6: Final answer
    x = 81,290.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.