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Finding the Fourth Proportional to 138,640.26, 206,957.49 and 121,825.20

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Solution

The fourth proportional to 138,640.26, 206,957.49 and 121,825.20 is: 181,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.26 : 206,957.49 = 121,825.20 : x
  2. Step 2: Convert to fraction form
    138,640.26/206,957.49 = 121,825.20/x
  3. Step 3: Cross multiply
    138,640.26x = 206,957.49 × 121,825.20
  4. Step 4: Simplify right side
    138,640.26x = 25,212,637,610.75
  5. Step 5: Solve for x
    x = 25,212,637,610.75/138,640.26
  6. Step 6: Final answer
    x = 181,856.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.