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Finding the Fourth Proportional to 100,211.82, 138,287.36 and 54,890

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Solution

The fourth proportional to 100,211.82, 138,287.36 and 54,890 is: 75,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211.82 : 138,287.36 = 54,890 : x
  2. Step 2: Convert to fraction form
    100,211.82/138,287.36 = 54,890/x
  3. Step 3: Cross multiply
    100,211.82x = 138,287.36 × 54,890
  4. Step 4: Simplify right side
    100,211.82x = 7,590,593,190.40
  5. Step 5: Solve for x
    x = 7,590,593,190.40/100,211.82
  6. Step 6: Final answer
    x = 75,745.49

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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.