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Finding the Fourth Proportional to 100,227.35, 138,313.78 and 54,906.97

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Solution

The fourth proportional to 100,227.35, 138,313.78 and 54,906.97 is: 75,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,227.35 : 138,313.78 = 54,906.97 : x
  2. Step 2: Convert to fraction form
    100,227.35/138,313.78 = 54,906.97/x
  3. Step 3: Cross multiply
    100,227.35x = 138,313.78 × 54,906.97
  4. Step 4: Simplify right side
    100,227.35x = 7,594,390,569.05
  5. Step 5: Solve for x
    x = 7,594,390,569.05/100,227.35
  6. Step 6: Final answer
    x = 75,771.64

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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.