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Finding the Fourth Proportional to 133,788.06, 200,682.45 and 33,948.09

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Solution

The fourth proportional to 133,788.06, 200,682.45 and 33,948.09 is: 50,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788.06 : 200,682.45 = 33,948.09 : x
  2. Step 2: Convert to fraction form
    133,788.06/200,682.45 = 33,948.09/x
  3. Step 3: Cross multiply
    133,788.06x = 200,682.45 × 33,948.09
  4. Step 4: Simplify right side
    133,788.06x = 6,812,785,874.02
  5. Step 5: Solve for x
    x = 6,812,785,874.02/133,788.06
  6. Step 6: Final answer
    x = 50,922.23

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Why These Related Problems?

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