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Finding the Fourth Proportional to 206,201.10, 284,694.60 and 158,368.98

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Solution

The fourth proportional to 206,201.10, 284,694.60 and 158,368.98 is: 218,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,201.10 : 284,694.60 = 158,368.98 : x
  2. Step 2: Convert to fraction form
    206,201.10/284,694.60 = 158,368.98/x
  3. Step 3: Cross multiply
    206,201.10x = 284,694.60 × 158,368.98
  4. Step 4: Simplify right side
    206,201.10x = 45,086,793,413.51
  5. Step 5: Solve for x
    x = 45,086,793,413.51/206,201.10
  6. Step 6: Final answer
    x = 218,654.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.