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Finding the Fourth Proportional to 202,976.38, 280,107.92 and 112,338.58

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Solution

The fourth proportional to 202,976.38, 280,107.92 and 112,338.58 is: 155,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,976.38 : 280,107.92 = 112,338.58 : x
  2. Step 2: Convert to fraction form
    202,976.38/280,107.92 = 112,338.58/x
  3. Step 3: Cross multiply
    202,976.38x = 280,107.92 × 112,338.58
  4. Step 4: Simplify right side
    202,976.38x = 31,466,925,979.55
  5. Step 5: Solve for x
    x = 31,466,925,979.55/202,976.38
  6. Step 6: Final answer
    x = 155,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.