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Finding the Fourth Proportional to 100,107.29, 138,146.21 and 54,784.36

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Solution

The fourth proportional to 100,107.29, 138,146.21 and 54,784.36 is: 75,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.29 : 138,146.21 = 54,784.36 : x
  2. Step 2: Convert to fraction form
    100,107.29/138,146.21 = 54,784.36/x
  3. Step 3: Cross multiply
    100,107.29x = 138,146.21 × 54,784.36
  4. Step 4: Simplify right side
    100,107.29x = 7,568,251,028.41
  5. Step 5: Solve for x
    x = 7,568,251,028.41/100,107.29
  6. Step 6: Final answer
    x = 75,601.40

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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.