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Finding the Fourth Proportional to 204,902.94, 307,280.52 and 86,583.46

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Solution

The fourth proportional to 204,902.94, 307,280.52 and 86,583.46 is: 129,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.94 : 307,280.52 = 86,583.46 : x
  2. Step 2: Convert to fraction form
    204,902.94/307,280.52 = 86,583.46/x
  3. Step 3: Cross multiply
    204,902.94x = 307,280.52 × 86,583.46
  4. Step 4: Simplify right side
    204,902.94x = 26,605,410,612.20
  5. Step 5: Solve for x
    x = 26,605,410,612.20/204,902.94
  6. Step 6: Final answer
    x = 129,843.97

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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.