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Finding the Fourth Proportional to 133,469.82, 184,227.75 and 76,921.02

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Solution

The fourth proportional to 133,469.82, 184,227.75 and 76,921.02 is: 106,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,469.82 : 184,227.75 = 76,921.02 : x
  2. Step 2: Convert to fraction form
    133,469.82/184,227.75 = 76,921.02/x
  3. Step 3: Cross multiply
    133,469.82x = 184,227.75 × 76,921.02
  4. Step 4: Simplify right side
    133,469.82x = 14,170,986,442.31
  5. Step 5: Solve for x
    x = 14,170,986,442.31/133,469.82
  6. Step 6: Final answer
    x = 106,173.71

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Why These Related Problems?

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