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Finding the Fourth Proportional to 133,449.38, 184,226.78 and 76,849.82

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Solution

The fourth proportional to 133,449.38, 184,226.78 and 76,849.82 is: 106,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,449.38 : 184,226.78 = 76,849.82 : x
  2. Step 2: Convert to fraction form
    133,449.38/184,226.78 = 76,849.82/x
  3. Step 3: Cross multiply
    133,449.38x = 184,226.78 × 76,849.82
  4. Step 4: Simplify right side
    133,449.38x = 14,157,794,882.18
  5. Step 5: Solve for x
    x = 14,157,794,882.18/133,449.38
  6. Step 6: Final answer
    x = 106,091.13

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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.