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Finding the Fourth Proportional to 206,662.94, 285,175.16 and 115,998.13

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Solution

The fourth proportional to 206,662.94, 285,175.16 and 115,998.13 is: 160,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.94 : 285,175.16 = 115,998.13 : x
  2. Step 2: Convert to fraction form
    206,662.94/285,175.16 = 115,998.13/x
  3. Step 3: Cross multiply
    206,662.94x = 285,175.16 × 115,998.13
  4. Step 4: Simplify right side
    206,662.94x = 33,079,784,542.30
  5. Step 5: Solve for x
    x = 33,079,784,542.30/206,662.94
  6. Step 6: Final answer
    x = 160,066.36

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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.