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Finding the Fourth Proportional to 204,814.10, 307,221.15 and 120,833.30

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Solution

The fourth proportional to 204,814.10, 307,221.15 and 120,833.30 is: 181,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.10 : 307,221.15 = 120,833.30 : x
  2. Step 2: Convert to fraction form
    204,814.10/307,221.15 = 120,833.30/x
  3. Step 3: Cross multiply
    204,814.10x = 307,221.15 × 120,833.30
  4. Step 4: Simplify right side
    204,814.10x = 37,122,545,384.30
  5. Step 5: Solve for x
    x = 37,122,545,384.30/204,814.10
  6. Step 6: Final answer
    x = 181,249.95

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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.