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Finding the Fourth Proportional to 100,171.96, 138,241.03 and 57,158.46

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Solution

The fourth proportional to 100,171.96, 138,241.03 and 57,158.46 is: 78,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.96 : 138,241.03 = 57,158.46 : x
  2. Step 2: Convert to fraction form
    100,171.96/138,241.03 = 57,158.46/x
  3. Step 3: Cross multiply
    100,171.96x = 138,241.03 × 57,158.46
  4. Step 4: Simplify right side
    100,171.96x = 7,901,643,692.41
  5. Step 5: Solve for x
    x = 7,901,643,692.41/100,171.96
  6. Step 6: Final answer
    x = 78,880.79

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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.