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Finding the Fourth Proportional to 206,351.54, 284,644.17 and 129,749.25

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Solution

The fourth proportional to 206,351.54, 284,644.17 and 129,749.25 is: 178,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,351.54 : 284,644.17 = 129,749.25 : x
  2. Step 2: Convert to fraction form
    206,351.54/284,644.17 = 129,749.25/x
  3. Step 3: Cross multiply
    206,351.54x = 284,644.17 × 129,749.25
  4. Step 4: Simplify right side
    206,351.54x = 36,932,367,574.37
  5. Step 5: Solve for x
    x = 36,932,367,574.37/206,351.54
  6. Step 6: Final answer
    x = 178,977.92

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1.5x scale

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.