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Finding the Fourth Proportional to 133,878.24, 184,757.76 and 80,172

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Solution

The fourth proportional to 133,878.24, 184,757.76 and 80,172 is: 110,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,878.24 : 184,757.76 = 80,172 : x
  2. Step 2: Convert to fraction form
    133,878.24/184,757.76 = 80,172/x
  3. Step 3: Cross multiply
    133,878.24x = 184,757.76 × 80,172
  4. Step 4: Simplify right side
    133,878.24x = 14,812,399,134.72
  5. Step 5: Solve for x
    x = 14,812,399,134.72/133,878.24
  6. Step 6: Final answer
    x = 110,640.83

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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.