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Finding the Fourth Proportional to 205,004.20, 306,923.10 and 181,676.20

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Solution

The fourth proportional to 205,004.20, 306,923.10 and 181,676.20 is: 271,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,004.20 : 306,923.10 = 181,676.20 : x
  2. Step 2: Convert to fraction form
    205,004.20/306,923.10 = 181,676.20/x
  3. Step 3: Cross multiply
    205,004.20x = 306,923.10 × 181,676.20
  4. Step 4: Simplify right side
    205,004.20x = 55,760,622,500.22
  5. Step 5: Solve for x
    x = 55,760,622,500.22/205,004.20
  6. Step 6: Final answer
    x = 271,997.46

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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.