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Finding the Fourth Proportional to 100,274.46, 138,382.59 and 57,260.96

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Solution

The fourth proportional to 100,274.46, 138,382.59 and 57,260.96 is: 79,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.46 : 138,382.59 = 57,260.96 : x
  2. Step 2: Convert to fraction form
    100,274.46/138,382.59 = 57,260.96/x
  3. Step 3: Cross multiply
    100,274.46x = 138,382.59 × 57,260.96
  4. Step 4: Simplify right side
    100,274.46x = 7,923,919,992.44
  5. Step 5: Solve for x
    x = 7,923,919,992.44/100,274.46
  6. Step 6: Final answer
    x = 79,022.32

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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.