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Finding the Fourth Proportional to 102,213.36, 141,015.15 and 75,419.73

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Solution

The fourth proportional to 102,213.36, 141,015.15 and 75,419.73 is: 104,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.36 : 141,015.15 = 75,419.73 : x
  2. Step 2: Convert to fraction form
    102,213.36/141,015.15 = 75,419.73/x
  3. Step 3: Cross multiply
    102,213.36x = 141,015.15 × 75,419.73
  4. Step 4: Simplify right side
    102,213.36x = 10,635,324,538.91
  5. Step 5: Solve for x
    x = 10,635,324,538.91/102,213.36
  6. Step 6: Final answer
    x = 104,050.24

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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.