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Finding the Fourth Proportional to 100,199.80, 150,317.01 and 33,646.35

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Solution

The fourth proportional to 100,199.80, 150,317.01 and 33,646.35 is: 50,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199.80 : 150,317.01 = 33,646.35 : x
  2. Step 2: Convert to fraction form
    100,199.80/150,317.01 = 33,646.35/x
  3. Step 3: Cross multiply
    100,199.80x = 150,317.01 × 33,646.35
  4. Step 4: Simplify right side
    100,199.80x = 5,057,618,729.41
  5. Step 5: Solve for x
    x = 5,057,618,729.41/100,199.80
  6. Step 6: Final answer
    x = 50,475.34

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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.