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Finding the Fourth Proportional to 133,732.59, 184,569.87 and 82,761.73

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Solution

The fourth proportional to 133,732.59, 184,569.87 and 82,761.73 is: 114,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,732.59 : 184,569.87 = 82,761.73 : x
  2. Step 2: Convert to fraction form
    133,732.59/184,569.87 = 82,761.73/x
  3. Step 3: Cross multiply
    133,732.59x = 184,569.87 × 82,761.73
  4. Step 4: Simplify right side
    133,732.59x = 15,275,321,747.08
  5. Step 5: Solve for x
    x = 15,275,321,747.08/133,732.59
  6. Step 6: Final answer
    x = 114,222.88

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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.