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Finding the Fourth Proportional to 206,270.89, 309,406.57 and 56,512.49

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Solution

The fourth proportional to 206,270.89, 309,406.57 and 56,512.49 is: 84,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.89 : 309,406.57 = 56,512.49 : x
  2. Step 2: Convert to fraction form
    206,270.89/309,406.57 = 56,512.49/x
  3. Step 3: Cross multiply
    206,270.89x = 309,406.57 × 56,512.49
  4. Step 4: Simplify right side
    206,270.89x = 17,485,334,004.75
  5. Step 5: Solve for x
    x = 17,485,334,004.75/206,270.89
  6. Step 6: Final answer
    x = 84,768.79

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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.