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Finding the Fourth Proportional to 133,542.69, 200,333.78 and 38,760.60

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Solution

The fourth proportional to 133,542.69, 200,333.78 and 38,760.60 is: 58,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.69 : 200,333.78 = 38,760.60 : x
  2. Step 2: Convert to fraction form
    133,542.69/200,333.78 = 38,760.60/x
  3. Step 3: Cross multiply
    133,542.69x = 200,333.78 × 38,760.60
  4. Step 4: Simplify right side
    133,542.69x = 7,765,057,319.27
  5. Step 5: Solve for x
    x = 7,765,057,319.27/133,542.69
  6. Step 6: Final answer
    x = 58,146.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.