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Finding the Fourth Proportional to 133,451.38, 184,229.54 and 76,851.82

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Solution

The fourth proportional to 133,451.38, 184,229.54 and 76,851.82 is: 106,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,451.38 : 184,229.54 = 76,851.82 : x
  2. Step 2: Convert to fraction form
    133,451.38/184,229.54 = 76,851.82/x
  3. Step 3: Cross multiply
    133,451.38x = 184,229.54 × 76,851.82
  4. Step 4: Simplify right side
    133,451.38x = 14,158,375,446.76
  5. Step 5: Solve for x
    x = 14,158,375,446.76/133,451.38
  6. Step 6: Final answer
    x = 106,093.89

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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.