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Finding the Fourth Proportional to 133,538, 184,282.44 and 73,922

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Solution

The fourth proportional to 133,538, 184,282.44 and 73,922 is: 102,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,538 : 184,282.44 = 73,922 : x
  2. Step 2: Convert to fraction form
    133,538/184,282.44 = 73,922/x
  3. Step 3: Cross multiply
    133,538x = 184,282.44 × 73,922
  4. Step 4: Simplify right side
    133,538x = 13,622,526,529.68
  5. Step 5: Solve for x
    x = 13,622,526,529.68/133,538
  6. Step 6: Final answer
    x = 102,012.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.