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Finding the Fourth Proportional to 100,200.94, 150,304.14 and 30,080.26

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Solution

The fourth proportional to 100,200.94, 150,304.14 and 30,080.26 is: 45,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.94 : 150,304.14 = 30,080.26 : x
  2. Step 2: Convert to fraction form
    100,200.94/150,304.14 = 30,080.26/x
  3. Step 3: Cross multiply
    100,200.94x = 150,304.14 × 30,080.26
  4. Step 4: Simplify right side
    100,200.94x = 4,521,187,610.28
  5. Step 5: Solve for x
    x = 4,521,187,610.28/100,200.94
  6. Step 6: Final answer
    x = 45,121.21

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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.