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Finding the Fourth Proportional to 135,993.82, 203,937.83 and 46,012.44

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Solution

The fourth proportional to 135,993.82, 203,937.83 and 46,012.44 is: 69,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,993.82 : 203,937.83 = 46,012.44 : x
  2. Step 2: Convert to fraction form
    135,993.82/203,937.83 = 46,012.44/x
  3. Step 3: Cross multiply
    135,993.82x = 203,937.83 × 46,012.44
  4. Step 4: Simplify right side
    135,993.82x = 9,383,677,166.61
  5. Step 5: Solve for x
    x = 9,383,677,166.61/135,993.82
  6. Step 6: Final answer
    x = 69,000.76

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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.