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Finding the Fourth Proportional to 133,796.30, 200,524.35 and 54,821.30

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Solution

The fourth proportional to 133,796.30, 200,524.35 and 54,821.30 is: 82,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796.30 : 200,524.35 = 54,821.30 : x
  2. Step 2: Convert to fraction form
    133,796.30/200,524.35 = 54,821.30/x
  3. Step 3: Cross multiply
    133,796.30x = 200,524.35 × 54,821.30
  4. Step 4: Simplify right side
    133,796.30x = 10,993,005,548.66
  5. Step 5: Solve for x
    x = 10,993,005,548.66/133,796.30
  6. Step 6: Final answer
    x = 82,162.25

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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.