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Finding the Fourth Proportional to 133,623.20, 200,434.80 and 82,884.80

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Solution

The fourth proportional to 133,623.20, 200,434.80 and 82,884.80 is: 124,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,623.20 : 200,434.80 = 82,884.80 : x
  2. Step 2: Convert to fraction form
    133,623.20/200,434.80 = 82,884.80/x
  3. Step 3: Cross multiply
    133,623.20x = 200,434.80 × 82,884.80
  4. Step 4: Simplify right side
    133,623.20x = 16,612,998,311.04
  5. Step 5: Solve for x
    x = 16,612,998,311.04/133,623.20
  6. Step 6: Final answer
    x = 124,327.20

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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.