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Finding the Fourth Proportional to 206,209.48, 284,569.62 and 116,785.48

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Solution

The fourth proportional to 206,209.48, 284,569.62 and 116,785.48 is: 161,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,209.48 : 284,569.62 = 116,785.48 : x
  2. Step 2: Convert to fraction form
    206,209.48/284,569.62 = 116,785.48/x
  3. Step 3: Cross multiply
    206,209.48x = 284,569.62 × 116,785.48
  4. Step 4: Simplify right side
    206,209.48x = 33,233,599,665.12
  5. Step 5: Solve for x
    x = 33,233,599,665.12/206,209.48
  6. Step 6: Final answer
    x = 161,164.27

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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.