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Finding the Fourth Proportional to 100,322.20, 150,509.40 and 29,243.24

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Solution

The fourth proportional to 100,322.20, 150,509.40 and 29,243.24 is: 43,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,322.20 : 150,509.40 = 29,243.24 : x
  2. Step 2: Convert to fraction form
    100,322.20/150,509.40 = 29,243.24/x
  3. Step 3: Cross multiply
    100,322.20x = 150,509.40 × 29,243.24
  4. Step 4: Simplify right side
    100,322.20x = 4,401,382,506.46
  5. Step 5: Solve for x
    x = 4,401,382,506.46/100,322.20
  6. Step 6: Final answer
    x = 43,872.47

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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.