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Finding the Fourth Proportional to 133,726.33, 200,512.95 and 54,797.50

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Solution

The fourth proportional to 133,726.33, 200,512.95 and 54,797.50 is: 82,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,726.33 : 200,512.95 = 54,797.50 : x
  2. Step 2: Convert to fraction form
    133,726.33/200,512.95 = 54,797.50/x
  3. Step 3: Cross multiply
    133,726.33x = 200,512.95 × 54,797.50
  4. Step 4: Simplify right side
    133,726.33x = 10,987,608,377.63
  5. Step 5: Solve for x
    x = 10,987,608,377.63/133,726.33
  6. Step 6: Final answer
    x = 82,164.88

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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.