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Finding the Fourth Proportional to 133,799.80, 200,529.60 and 54,824.80

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Solution

The fourth proportional to 133,799.80, 200,529.60 and 54,824.80 is: 82,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799.80 : 200,529.60 = 54,824.80 : x
  2. Step 2: Convert to fraction form
    133,799.80/200,529.60 = 54,824.80/x
  3. Step 3: Cross multiply
    133,799.80x = 200,529.60 × 54,824.80
  4. Step 4: Simplify right side
    133,799.80x = 10,993,995,214.08
  5. Step 5: Solve for x
    x = 10,993,995,214.08/133,799.80
  6. Step 6: Final answer
    x = 82,167.50

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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.