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Finding the Fourth Proportional to 100,354.96, 150,504.36 and 30,224.08

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Solution

The fourth proportional to 100,354.96, 150,504.36 and 30,224.08 is: 45,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,354.96 : 150,504.36 = 30,224.08 : x
  2. Step 2: Convert to fraction form
    100,354.96/150,504.36 = 30,224.08/x
  3. Step 3: Cross multiply
    100,354.96x = 150,504.36 × 30,224.08
  4. Step 4: Simplify right side
    100,354.96x = 4,548,855,816.99
  5. Step 5: Solve for x
    x = 4,548,855,816.99/100,354.96
  6. Step 6: Final answer
    x = 45,327.66

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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.