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Finding the Fourth Proportional to 102,996.12, 142,022.24 and 89,447.80

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Solution

The fourth proportional to 102,996.12, 142,022.24 and 89,447.80 is: 123,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.12 : 142,022.24 = 89,447.80 : x
  2. Step 2: Convert to fraction form
    102,996.12/142,022.24 = 89,447.80/x
  3. Step 3: Cross multiply
    102,996.12x = 142,022.24 × 89,447.80
  4. Step 4: Simplify right side
    102,996.12x = 12,703,576,919.07
  5. Step 5: Solve for x
    x = 12,703,576,919.07/102,996.12
  6. Step 6: Final answer
    x = 123,340.34

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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.