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Finding the Fourth Proportional to 102,131.28, 140,940.81 and 57,419.28

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Solution

The fourth proportional to 102,131.28, 140,940.81 and 57,419.28 is: 79,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,131.28 : 140,940.81 = 57,419.28 : x
  2. Step 2: Convert to fraction form
    102,131.28/140,940.81 = 57,419.28/x
  3. Step 3: Cross multiply
    102,131.28x = 140,940.81 × 57,419.28
  4. Step 4: Simplify right side
    102,131.28x = 8,092,719,832.82
  5. Step 5: Solve for x
    x = 8,092,719,832.82/102,131.28
  6. Step 6: Final answer
    x = 79,238.41

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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.