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Finding the Fourth Proportional to 138,861.30, 208,292.73 and 33,680.34

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Solution

The fourth proportional to 138,861.30, 208,292.73 and 33,680.34 is: 50,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,861.30 : 208,292.73 = 33,680.34 : x
  2. Step 2: Convert to fraction form
    138,861.30/208,292.73 = 33,680.34/x
  3. Step 3: Cross multiply
    138,861.30x = 208,292.73 × 33,680.34
  4. Step 4: Simplify right side
    138,861.30x = 7,015,369,965.93
  5. Step 5: Solve for x
    x = 7,015,369,965.93/138,861.30
  6. Step 6: Final answer
    x = 50,520.70

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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.