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Finding the Fourth Proportional to 204,787.80, 307,132.49 and 104,896.57

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Solution

The fourth proportional to 204,787.80, 307,132.49 and 104,896.57 is: 157,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,787.80 : 307,132.49 = 104,896.57 : x
  2. Step 2: Convert to fraction form
    204,787.80/307,132.49 = 104,896.57/x
  3. Step 3: Cross multiply
    204,787.80x = 307,132.49 × 104,896.57
  4. Step 4: Simplify right side
    204,787.80x = 32,217,144,212.08
  5. Step 5: Solve for x
    x = 32,217,144,212.08/204,787.80
  6. Step 6: Final answer
    x = 157,319.65

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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.