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Finding the Fourth Proportional to 133,780.80, 200,768.40 and 54,951.60

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Solution

The fourth proportional to 133,780.80, 200,768.40 and 54,951.60 is: 82,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.80 : 200,768.40 = 54,951.60 : x
  2. Step 2: Convert to fraction form
    133,780.80/200,768.40 = 54,951.60/x
  3. Step 3: Cross multiply
    133,780.80x = 200,768.40 × 54,951.60
  4. Step 4: Simplify right side
    133,780.80x = 11,032,544,809.44
  5. Step 5: Solve for x
    x = 11,032,544,809.44/133,780.80
  6. Step 6: Final answer
    x = 82,467.33

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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.