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Finding the Fourth Proportional to 206,589.66, 285,097.23 and 114,706.50

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Solution

The fourth proportional to 206,589.66, 285,097.23 and 114,706.50 is: 158,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.66 : 285,097.23 = 114,706.50 : x
  2. Step 2: Convert to fraction form
    206,589.66/285,097.23 = 114,706.50/x
  3. Step 3: Cross multiply
    206,589.66x = 285,097.23 × 114,706.50
  4. Step 4: Simplify right side
    206,589.66x = 32,702,505,413.00
  5. Step 5: Solve for x
    x = 32,702,505,413.00/206,589.66
  6. Step 6: Final answer
    x = 158,296.91

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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.