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Finding the Fourth Proportional to 100,433.70, 150,464.16 and 71,911.80

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Solution

The fourth proportional to 100,433.70, 150,464.16 and 71,911.80 is: 107,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433.70 : 150,464.16 = 71,911.80 : x
  2. Step 2: Convert to fraction form
    100,433.70/150,464.16 = 71,911.80/x
  3. Step 3: Cross multiply
    100,433.70x = 150,464.16 × 71,911.80
  4. Step 4: Simplify right side
    100,433.70x = 10,820,148,581.09
  5. Step 5: Solve for x
    x = 10,820,148,581.09/100,433.70
  6. Step 6: Final answer
    x = 107,734.24

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Why These Related Problems?

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