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Finding the Fourth Proportional to 133,022.88, 199,475.60 and 49,858.56

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Solution

The fourth proportional to 133,022.88, 199,475.60 and 49,858.56 is: 74,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.88 : 199,475.60 = 49,858.56 : x
  2. Step 2: Convert to fraction form
    133,022.88/199,475.60 = 49,858.56/x
  3. Step 3: Cross multiply
    133,022.88x = 199,475.60 × 49,858.56
  4. Step 4: Simplify right side
    133,022.88x = 9,945,566,171.14
  5. Step 5: Solve for x
    x = 9,945,566,171.14/133,022.88
  6. Step 6: Final answer
    x = 74,765.83

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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.