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Finding the Fourth Proportional to 133,429.28, 200,144.12 and 33,589.49

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Solution

The fourth proportional to 133,429.28, 200,144.12 and 33,589.49 is: 50,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,429.28 : 200,144.12 = 33,589.49 : x
  2. Step 2: Convert to fraction form
    133,429.28/200,144.12 = 33,589.49/x
  3. Step 3: Cross multiply
    133,429.28x = 200,144.12 × 33,589.49
  4. Step 4: Simplify right side
    133,429.28x = 6,722,737,748.63
  5. Step 5: Solve for x
    x = 6,722,737,748.63/133,429.28
  6. Step 6: Final answer
    x = 50,384.28

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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.