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Finding the Fourth Proportional to 100,205.64, 138,285.36 and 54,882.81

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Solution

The fourth proportional to 100,205.64, 138,285.36 and 54,882.81 is: 75,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.64 : 138,285.36 = 54,882.81 : x
  2. Step 2: Convert to fraction form
    100,205.64/138,285.36 = 54,882.81/x
  3. Step 3: Cross multiply
    100,205.64x = 138,285.36 × 54,882.81
  4. Step 4: Simplify right side
    100,205.64x = 7,589,489,138.66
  5. Step 5: Solve for x
    x = 7,589,489,138.66/100,205.64
  6. Step 6: Final answer
    x = 75,739.14

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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.