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Finding the Fourth Proportional to 100,102.60, 150,168.30 and 33,545.80

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Solution

The fourth proportional to 100,102.60, 150,168.30 and 33,545.80 is: 50,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.60 : 150,168.30 = 33,545.80 : x
  2. Step 2: Convert to fraction form
    100,102.60/150,168.30 = 33,545.80/x
  3. Step 3: Cross multiply
    100,102.60x = 150,168.30 × 33,545.80
  4. Step 4: Simplify right side
    100,102.60x = 5,037,515,758.14
  5. Step 5: Solve for x
    x = 5,037,515,758.14/100,102.60
  6. Step 6: Final answer
    x = 50,323.53

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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.