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Finding the Fourth Proportional to 206,340.92, 284,629.56 and 129,738.63

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Solution

The fourth proportional to 206,340.92, 284,629.56 and 129,738.63 is: 178,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,340.92 : 284,629.56 = 129,738.63 : x
  2. Step 2: Convert to fraction form
    206,340.92/284,629.56 = 129,738.63/x
  3. Step 3: Cross multiply
    206,340.92x = 284,629.56 × 129,738.63
  4. Step 4: Simplify right side
    206,340.92x = 36,927,448,881.48
  5. Step 5: Solve for x
    x = 36,927,448,881.48/206,340.92
  6. Step 6: Final answer
    x = 178,963.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.