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Finding the Fourth Proportional to 133,383.66, 200,102.49 and 54,504.24

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Solution

The fourth proportional to 133,383.66, 200,102.49 and 54,504.24 is: 81,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,383.66 : 200,102.49 = 54,504.24 : x
  2. Step 2: Convert to fraction form
    133,383.66/200,102.49 = 54,504.24/x
  3. Step 3: Cross multiply
    133,383.66x = 200,102.49 × 54,504.24
  4. Step 4: Simplify right side
    133,383.66x = 10,906,434,139.56
  5. Step 5: Solve for x
    x = 10,906,434,139.56/133,383.66
  6. Step 6: Final answer
    x = 81,767.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.