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Finding the Fourth Proportional to 206,161, 284,502.18 and 116,754.28

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Solution

The fourth proportional to 206,161, 284,502.18 and 116,754.28 is: 161,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,161 : 284,502.18 = 116,754.28 : x
  2. Step 2: Convert to fraction form
    206,161/284,502.18 = 116,754.28/x
  3. Step 3: Cross multiply
    206,161x = 284,502.18 × 116,754.28
  4. Step 4: Simplify right side
    206,161x = 33,216,847,184.33
  5. Step 5: Solve for x
    x = 33,216,847,184.33/206,161
  6. Step 6: Final answer
    x = 161,120.91

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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.