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Finding the Fourth Proportional to 133,622.46, 200,414.86 and 33,776.49

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Solution

The fourth proportional to 133,622.46, 200,414.86 and 33,776.49 is: 50,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,622.46 : 200,414.86 = 33,776.49 : x
  2. Step 2: Convert to fraction form
    133,622.46/200,414.86 = 33,776.49/x
  3. Step 3: Cross multiply
    133,622.46x = 200,414.86 × 33,776.49
  4. Step 4: Simplify right side
    133,622.46x = 6,769,311,181.76
  5. Step 5: Solve for x
    x = 6,769,311,181.76/133,622.46
  6. Step 6: Final answer
    x = 50,659.98

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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.