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Finding the Fourth Proportional to 133,843.20, 200,764.80 and 54,916.80

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Solution

The fourth proportional to 133,843.20, 200,764.80 and 54,916.80 is: 82,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.20 : 200,764.80 = 54,916.80 : x
  2. Step 2: Convert to fraction form
    133,843.20/200,764.80 = 54,916.80/x
  3. Step 3: Cross multiply
    133,843.20x = 200,764.80 × 54,916.80
  4. Step 4: Simplify right side
    133,843.20x = 11,025,360,368.64
  5. Step 5: Solve for x
    x = 11,025,360,368.64/133,843.20
  6. Step 6: Final answer
    x = 82,375.20

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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.