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Finding the Fourth Proportional to 206,183.90, 309,264.61 and 56,413.38

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Solution

The fourth proportional to 206,183.90, 309,264.61 and 56,413.38 is: 84,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183.90 : 309,264.61 = 56,413.38 : x
  2. Step 2: Convert to fraction form
    206,183.90/309,264.61 = 56,413.38/x
  3. Step 3: Cross multiply
    206,183.90x = 309,264.61 × 56,413.38
  4. Step 4: Simplify right side
    206,183.90x = 17,446,662,596.61
  5. Step 5: Solve for x
    x = 17,446,662,596.61/206,183.90
  6. Step 6: Final answer
    x = 84,617.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.