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Finding the Fourth Proportional to 204,912.30, 307,234.80 and 183,917.10

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Solution

The fourth proportional to 204,912.30, 307,234.80 and 183,917.10 is: 275,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912.30 : 307,234.80 = 183,917.10 : x
  2. Step 2: Convert to fraction form
    204,912.30/307,234.80 = 183,917.10/x
  3. Step 3: Cross multiply
    204,912.30x = 307,234.80 × 183,917.10
  4. Step 4: Simplify right side
    204,912.30x = 56,505,733,435.08
  5. Step 5: Solve for x
    x = 56,505,733,435.08/204,912.30
  6. Step 6: Final answer
    x = 275,755.69

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Why These Related Problems?

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