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Finding the Fourth Proportional to 100,704.36, 138,968.84 and 55,382.21

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Solution

The fourth proportional to 100,704.36, 138,968.84 and 55,382.21 is: 76,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.36 : 138,968.84 = 55,382.21 : x
  2. Step 2: Convert to fraction form
    100,704.36/138,968.84 = 55,382.21/x
  3. Step 3: Cross multiply
    100,704.36x = 138,968.84 × 55,382.21
  4. Step 4: Simplify right side
    100,704.36x = 7,696,400,993.18
  5. Step 5: Solve for x
    x = 7,696,400,993.18/100,704.36
  6. Step 6: Final answer
    x = 76,425.70

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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.