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Finding the Fourth Proportional to 133,693.41, 200,540.57 and 33,853.55

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Solution

The fourth proportional to 133,693.41, 200,540.57 and 33,853.55 is: 50,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,693.41 : 200,540.57 = 33,853.55 : x
  2. Step 2: Convert to fraction form
    133,693.41/200,540.57 = 33,853.55/x
  3. Step 3: Cross multiply
    133,693.41x = 200,540.57 × 33,853.55
  4. Step 4: Simplify right side
    133,693.41x = 6,789,009,041.55
  5. Step 5: Solve for x
    x = 6,789,009,041.55/133,693.41
  6. Step 6: Final answer
    x = 50,780.43

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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.