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Finding the Fourth Proportional to 100,197.80, 150,314.01 and 33,644.35

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Solution

The fourth proportional to 100,197.80, 150,314.01 and 33,644.35 is: 50,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.80 : 150,314.01 = 33,644.35 : x
  2. Step 2: Convert to fraction form
    100,197.80/150,314.01 = 33,644.35/x
  3. Step 3: Cross multiply
    100,197.80x = 150,314.01 × 33,644.35
  4. Step 4: Simplify right side
    100,197.80x = 5,057,217,162.34
  5. Step 5: Solve for x
    x = 5,057,217,162.34/100,197.80
  6. Step 6: Final answer
    x = 50,472.34

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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.