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Finding the Fourth Proportional to 100,216.31, 150,319.19 and 33,657.80

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Solution

The fourth proportional to 100,216.31, 150,319.19 and 33,657.80 is: 50,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.31 : 150,319.19 = 33,657.80 : x
  2. Step 2: Convert to fraction form
    100,216.31/150,319.19 = 33,657.80/x
  3. Step 3: Cross multiply
    100,216.31x = 150,319.19 × 33,657.80
  4. Step 4: Simplify right side
    100,216.31x = 5,059,412,565.73
  5. Step 5: Solve for x
    x = 5,059,412,565.73/100,216.31
  6. Step 6: Final answer
    x = 50,484.92

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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.