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Finding the Fourth Proportional to 133,822.66, 200,559 and 54,844.42

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Solution

The fourth proportional to 133,822.66, 200,559 and 54,844.42 is: 82,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.66 : 200,559 = 54,844.42 : x
  2. Step 2: Convert to fraction form
    133,822.66/200,559 = 54,844.42/x
  3. Step 3: Cross multiply
    133,822.66x = 200,559 × 54,844.42
  4. Step 4: Simplify right side
    133,822.66x = 10,999,542,030.78
  5. Step 5: Solve for x
    x = 10,999,542,030.78/133,822.66
  6. Step 6: Final answer
    x = 82,194.91

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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.