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Finding the Fourth Proportional to 133,414.58, 200,107.08 and 33,574.80

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Solution

The fourth proportional to 133,414.58, 200,107.08 and 33,574.80 is: 50,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,414.58 : 200,107.08 = 33,574.80 : x
  2. Step 2: Convert to fraction form
    133,414.58/200,107.08 = 33,574.80/x
  3. Step 3: Cross multiply
    133,414.58x = 200,107.08 × 33,574.80
  4. Step 4: Simplify right side
    133,414.58x = 6,718,555,189.58
  5. Step 5: Solve for x
    x = 6,718,555,189.58/133,414.58
  6. Step 6: Final answer
    x = 50,358.48

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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.