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Finding the Fourth Proportional to 133,696.47, 200,550.87 and 54,755.37

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Solution

The fourth proportional to 133,696.47, 200,550.87 and 54,755.37 is: 82,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.47 : 200,550.87 = 54,755.37 : x
  2. Step 2: Convert to fraction form
    133,696.47/200,550.87 = 54,755.37/x
  3. Step 3: Cross multiply
    133,696.47x = 200,550.87 × 54,755.37
  4. Step 4: Simplify right side
    133,696.47x = 10,981,237,090.67
  5. Step 5: Solve for x
    x = 10,981,237,090.67/133,696.47
  6. Step 6: Final answer
    x = 82,135.58

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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.