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Finding the Fourth Proportional to 206,843.78, 285,444.44 and 114,963.05

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Solution

The fourth proportional to 206,843.78, 285,444.44 and 114,963.05 is: 158,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.78 : 285,444.44 = 114,963.05 : x
  2. Step 2: Convert to fraction form
    206,843.78/285,444.44 = 114,963.05/x
  3. Step 3: Cross multiply
    206,843.78x = 285,444.44 × 114,963.05
  4. Step 4: Simplify right side
    206,843.78x = 32,815,561,425.90
  5. Step 5: Solve for x
    x = 32,815,561,425.90/206,843.78
  6. Step 6: Final answer
    x = 158,649.02

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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.