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Finding the Fourth Proportional to 133,814.80, 200,552.10 and 54,839.80

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Solution

The fourth proportional to 133,814.80, 200,552.10 and 54,839.80 is: 82,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.80 : 200,552.10 = 54,839.80 : x
  2. Step 2: Convert to fraction form
    133,814.80/200,552.10 = 54,839.80/x
  3. Step 3: Cross multiply
    133,814.80x = 200,552.10 × 54,839.80
  4. Step 4: Simplify right side
    133,814.80x = 10,998,237,053.58
  5. Step 5: Solve for x
    x = 10,998,237,053.58/133,814.80
  6. Step 6: Final answer
    x = 82,189.99

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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.