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Finding the Fourth Proportional to 206,097, 284,413.86 and 116,673

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Solution

The fourth proportional to 206,097, 284,413.86 and 116,673 is: 161,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097 : 284,413.86 = 116,673 : x
  2. Step 2: Convert to fraction form
    206,097/284,413.86 = 116,673/x
  3. Step 3: Cross multiply
    206,097x = 284,413.86 × 116,673
  4. Step 4: Simplify right side
    206,097x = 33,183,418,287.78
  5. Step 5: Solve for x
    x = 33,183,418,287.78/206,097
  6. Step 6: Final answer
    x = 161,008.74

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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.