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Finding the Fourth Proportional to 133,204.80, 199,920.60 and 54,375.60

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Solution

The fourth proportional to 133,204.80, 199,920.60 and 54,375.60 is: 81,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204.80 : 199,920.60 = 54,375.60 : x
  2. Step 2: Convert to fraction form
    133,204.80/199,920.60 = 54,375.60/x
  3. Step 3: Cross multiply
    133,204.80x = 199,920.60 × 54,375.60
  4. Step 4: Simplify right side
    133,204.80x = 10,870,802,577.36
  5. Step 5: Solve for x
    x = 10,870,802,577.36/133,204.80
  6. Step 6: Final answer
    x = 81,609.69

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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.