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Finding the Fourth Proportional to 204,814.10, 307,221.15 and 181,486.10

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Solution

The fourth proportional to 204,814.10, 307,221.15 and 181,486.10 is: 272,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.10 : 307,221.15 = 181,486.10 : x
  2. Step 2: Convert to fraction form
    204,814.10/307,221.15 = 181,486.10/x
  3. Step 3: Cross multiply
    204,814.10x = 307,221.15 × 181,486.10
  4. Step 4: Simplify right side
    204,814.10x = 55,756,368,351.02
  5. Step 5: Solve for x
    x = 55,756,368,351.02/204,814.10
  6. Step 6: Final answer
    x = 272,229.15

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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.