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Finding the Fourth Proportional to 133,546.98, 200,418.47 and 107,565.42

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Solution

The fourth proportional to 133,546.98, 200,418.47 and 107,565.42 is: 161,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546.98 : 200,418.47 = 107,565.42 : x
  2. Step 2: Convert to fraction form
    133,546.98/200,418.47 = 107,565.42/x
  3. Step 3: Cross multiply
    133,546.98x = 200,418.47 × 107,565.42
  4. Step 4: Simplify right side
    133,546.98x = 21,558,096,620.34
  5. Step 5: Solve for x
    x = 21,558,096,620.34/133,546.98
  6. Step 6: Final answer
    x = 161,427.07

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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.