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Finding the Fourth Proportional to 133,786.40, 200,679.92 and 33,946.40

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Solution

The fourth proportional to 133,786.40, 200,679.92 and 33,946.40 is: 50,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,786.40 : 200,679.92 = 33,946.40 : x
  2. Step 2: Convert to fraction form
    133,786.40/200,679.92 = 33,946.40/x
  3. Step 3: Cross multiply
    133,786.40x = 200,679.92 × 33,946.40
  4. Step 4: Simplify right side
    133,786.40x = 6,812,360,836.29
  5. Step 5: Solve for x
    x = 6,812,360,836.29/133,786.40
  6. Step 6: Final answer
    x = 50,919.68

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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.