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Finding the Fourth Proportional to 102,231.44, 141,069.49 and 75,388.40

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Solution

The fourth proportional to 102,231.44, 141,069.49 and 75,388.40 is: 104,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,231.44 : 141,069.49 = 75,388.40 : x
  2. Step 2: Convert to fraction form
    102,231.44/141,069.49 = 75,388.40/x
  3. Step 3: Cross multiply
    102,231.44x = 141,069.49 × 75,388.40
  4. Step 4: Simplify right side
    102,231.44x = 10,635,002,057.63
  5. Step 5: Solve for x
    x = 10,635,002,057.63/102,231.44
  6. Step 6: Final answer
    x = 104,028.69

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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.