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Finding the Fourth Proportional to 133,842.92, 200,768.42 and 34,003.13

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Solution

The fourth proportional to 133,842.92, 200,768.42 and 34,003.13 is: 51,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842.92 : 200,768.42 = 34,003.13 : x
  2. Step 2: Convert to fraction form
    133,842.92/200,768.42 = 34,003.13/x
  3. Step 3: Cross multiply
    133,842.92x = 200,768.42 × 34,003.13
  4. Step 4: Simplify right side
    133,842.92x = 6,826,753,766.32
  5. Step 5: Solve for x
    x = 6,826,753,766.32/133,842.92
  6. Step 6: Final answer
    x = 51,005.72

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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.