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Finding the Fourth Proportional to 133,820.66, 200,556.01 and 54,842.42

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Solution

The fourth proportional to 133,820.66, 200,556.01 and 54,842.42 is: 82,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.66 : 200,556.01 = 54,842.42 : x
  2. Step 2: Convert to fraction form
    133,820.66/200,556.01 = 54,842.42/x
  3. Step 3: Cross multiply
    133,820.66x = 200,556.01 × 54,842.42
  4. Step 4: Simplify right side
    133,820.66x = 10,998,976,933.94
  5. Step 5: Solve for x
    x = 10,998,976,933.94/133,820.66
  6. Step 6: Final answer
    x = 82,191.92

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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.