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Finding the Fourth Proportional to 100,239.58, 138,015.03 and 85,102.30

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Solution

The fourth proportional to 100,239.58, 138,015.03 and 85,102.30 is: 117,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,239.58 : 138,015.03 = 85,102.30 : x
  2. Step 2: Convert to fraction form
    100,239.58/138,015.03 = 85,102.30/x
  3. Step 3: Cross multiply
    100,239.58x = 138,015.03 × 85,102.30
  4. Step 4: Simplify right side
    100,239.58x = 11,745,396,487.57
  5. Step 5: Solve for x
    x = 11,745,396,487.57/100,239.58
  6. Step 6: Final answer
    x = 117,173.24

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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.