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Finding the Fourth Proportional to 138,761.20, 208,142.82 and 33,580.17

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Solution

The fourth proportional to 138,761.20, 208,142.82 and 33,580.17 is: 50,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.20 : 208,142.82 = 33,580.17 : x
  2. Step 2: Convert to fraction form
    138,761.20/208,142.82 = 33,580.17/x
  3. Step 3: Cross multiply
    138,761.20x = 208,142.82 × 33,580.17
  4. Step 4: Simplify right side
    138,761.20x = 6,989,471,279.88
  5. Step 5: Solve for x
    x = 6,989,471,279.88/138,761.20
  6. Step 6: Final answer
    x = 50,370.50

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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.