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Finding the Fourth Proportional to 127,608.50, 191,398.16 and 34,121.54

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Solution

The fourth proportional to 127,608.50, 191,398.16 and 34,121.54 is: 51,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,608.50 : 191,398.16 = 34,121.54 : x
  2. Step 2: Convert to fraction form
    127,608.50/191,398.16 = 34,121.54/x
  3. Step 3: Cross multiply
    127,608.50x = 191,398.16 × 34,121.54
  4. Step 4: Simplify right side
    127,608.50x = 6,530,799,972.37
  5. Step 5: Solve for x
    x = 6,530,799,972.37/127,608.50
  6. Step 6: Final answer
    x = 51,178.41

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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.