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Finding the Fourth Proportional to 100,200.65, 150,308.26 and 33,640.21

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Solution

The fourth proportional to 100,200.65, 150,308.26 and 33,640.21 is: 50,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.65 : 150,308.26 = 33,640.21 : x
  2. Step 2: Convert to fraction form
    100,200.65/150,308.26 = 33,640.21/x
  3. Step 3: Cross multiply
    100,200.65x = 150,308.26 × 33,640.21
  4. Step 4: Simplify right side
    100,200.65x = 5,056,401,534.92
  5. Step 5: Solve for x
    x = 5,056,401,534.92/100,200.65
  6. Step 6: Final answer
    x = 50,462.76

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1.5x scale

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.