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Finding the Fourth Proportional to 206,877.88, 285,491.73 and 116,233.79

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Solution

The fourth proportional to 206,877.88, 285,491.73 and 116,233.79 is: 160,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877.88 : 285,491.73 = 116,233.79 : x
  2. Step 2: Convert to fraction form
    206,877.88/285,491.73 = 116,233.79/x
  3. Step 3: Cross multiply
    206,877.88x = 285,491.73 × 116,233.79
  4. Step 4: Simplify right side
    206,877.88x = 33,183,786,391.54
  5. Step 5: Solve for x
    x = 33,183,786,391.54/206,877.88
  6. Step 6: Final answer
    x = 160,402.78

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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.