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Finding the Fourth Proportional to 133,589, 184,352.84 and 73,973

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Solution

The fourth proportional to 133,589, 184,352.84 and 73,973 is: 102,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,589 : 184,352.84 = 73,973 : x
  2. Step 2: Convert to fraction form
    133,589/184,352.84 = 73,973/x
  3. Step 3: Cross multiply
    133,589x = 184,352.84 × 73,973
  4. Step 4: Simplify right side
    133,589x = 13,637,132,633.32
  5. Step 5: Solve for x
    x = 13,637,132,633.32/133,589
  6. Step 6: Final answer
    x = 102,082.75

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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.