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Finding the Fourth Proportional to 100,200.85, 150,297.63 and 30,078.34

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Solution

The fourth proportional to 100,200.85, 150,297.63 and 30,078.34 is: 45,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.85 : 150,297.63 = 30,078.34 : x
  2. Step 2: Convert to fraction form
    100,200.85/150,297.63 = 30,078.34/x
  3. Step 3: Cross multiply
    100,200.85x = 150,297.63 × 30,078.34
  4. Step 4: Simplify right side
    100,200.85x = 4,520,702,727.80
  5. Step 5: Solve for x
    x = 4,520,702,727.80/100,200.85
  6. Step 6: Final answer
    x = 45,116.41

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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.