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Finding the Fourth Proportional to 100,204.09, 150,262.09 and 30,067.00

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Solution

The fourth proportional to 100,204.09, 150,262.09 and 30,067.00 is: 45,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.09 : 150,262.09 = 30,067.00 : x
  2. Step 2: Convert to fraction form
    100,204.09/150,262.09 = 30,067.00/x
  3. Step 3: Cross multiply
    100,204.09x = 150,262.09 × 30,067.00
  4. Step 4: Simplify right side
    100,204.09x = 4,517,929,809.21
  5. Step 5: Solve for x
    x = 4,517,929,809.21/100,204.09
  6. Step 6: Final answer
    x = 45,087.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.