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Finding the Fourth Proportional to 100,250.46, 138,321.27 and 55,538.46

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Solution

The fourth proportional to 100,250.46, 138,321.27 and 55,538.46 is: 76,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,250.46 : 138,321.27 = 55,538.46 : x
  2. Step 2: Convert to fraction form
    100,250.46/138,321.27 = 55,538.46/x
  3. Step 3: Cross multiply
    100,250.46x = 138,321.27 × 55,538.46
  4. Step 4: Simplify right side
    100,250.46x = 7,682,150,321.04
  5. Step 5: Solve for x
    x = 7,682,150,321.04/100,250.46
  6. Step 6: Final answer
    x = 76,629.58

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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.