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Finding the Fourth Proportional to 133,554.68, 200,342.45 and 38,786.42

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Solution

The fourth proportional to 133,554.68, 200,342.45 and 38,786.42 is: 58,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,554.68 : 200,342.45 = 38,786.42 : x
  2. Step 2: Convert to fraction form
    133,554.68/200,342.45 = 38,786.42/x
  3. Step 3: Cross multiply
    133,554.68x = 200,342.45 × 38,786.42
  4. Step 4: Simplify right side
    133,554.68x = 7,770,566,716.45
  5. Step 5: Solve for x
    x = 7,770,566,716.45/133,554.68
  6. Step 6: Final answer
    x = 58,182.66

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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.