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Finding the Fourth Proportional to 344,120.92, 515,980.50 and 133,512.82

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Solution

The fourth proportional to 344,120.92, 515,980.50 and 133,512.82 is: 200,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,120.92 : 515,980.50 = 133,512.82 : x
  2. Step 2: Convert to fraction form
    344,120.92/515,980.50 = 133,512.82/x
  3. Step 3: Cross multiply
    344,120.92x = 515,980.50 × 133,512.82
  4. Step 4: Simplify right side
    344,120.92x = 68,890,011,620.01
  5. Step 5: Solve for x
    x = 68,890,011,620.01/344,120.92
  6. Step 6: Final answer
    x = 200,191.29

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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.