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Finding the Fourth Proportional to 100,219.97, 138,305.79 and 57,198.60

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Solution

The fourth proportional to 100,219.97, 138,305.79 and 57,198.60 is: 78,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.97 : 138,305.79 = 57,198.60 : x
  2. Step 2: Convert to fraction form
    100,219.97/138,305.79 = 57,198.60/x
  3. Step 3: Cross multiply
    100,219.97x = 138,305.79 × 57,198.60
  4. Step 4: Simplify right side
    100,219.97x = 7,910,897,137.55
  5. Step 5: Solve for x
    x = 7,910,897,137.55/100,219.97
  6. Step 6: Final answer
    x = 78,935.34

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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.