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Finding the Fourth Proportional to 100,422.09, 138,765.87 and 73,150.71

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Solution

The fourth proportional to 100,422.09, 138,765.87 and 73,150.71 is: 101,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.09 : 138,765.87 = 73,150.71 : x
  2. Step 2: Convert to fraction form
    100,422.09/138,765.87 = 73,150.71/x
  3. Step 3: Cross multiply
    100,422.09x = 138,765.87 × 73,150.71
  4. Step 4: Simplify right side
    100,422.09x = 10,150,821,914.27
  5. Step 5: Solve for x
    x = 10,150,821,914.27/100,422.09
  6. Step 6: Final answer
    x = 101,081.56

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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.