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Finding the Fourth Proportional to 206,208.48, 284,568.24 and 116,784.48

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Solution

The fourth proportional to 206,208.48, 284,568.24 and 116,784.48 is: 161,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208.48 : 284,568.24 = 116,784.48 : x
  2. Step 2: Convert to fraction form
    206,208.48/284,568.24 = 116,784.48/x
  3. Step 3: Cross multiply
    206,208.48x = 284,568.24 × 116,784.48
  4. Step 4: Simplify right side
    206,208.48x = 33,233,153,932.92
  5. Step 5: Solve for x
    x = 33,233,153,932.92/206,208.48
  6. Step 6: Final answer
    x = 161,162.89

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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.