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Finding the Fourth Proportional to 204,773.69, 307,139.77 and 54,994.52

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Solution

The fourth proportional to 204,773.69, 307,139.77 and 54,994.52 is: 82,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,773.69 : 307,139.77 = 54,994.52 : x
  2. Step 2: Convert to fraction form
    204,773.69/307,139.77 = 54,994.52/x
  3. Step 3: Cross multiply
    204,773.69x = 307,139.77 × 54,994.52
  4. Step 4: Simplify right side
    204,773.69x = 16,891,004,224.06
  5. Step 5: Solve for x
    x = 16,891,004,224.06/204,773.69
  6. Step 6: Final answer
    x = 82,486.20

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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.