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Finding the Fourth Proportional to 202,757.32, 279,793.77 and 112,107.82

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Solution

The fourth proportional to 202,757.32, 279,793.77 and 112,107.82 is: 154,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,757.32 : 279,793.77 = 112,107.82 : x
  2. Step 2: Convert to fraction form
    202,757.32/279,793.77 = 112,107.82/x
  3. Step 3: Cross multiply
    202,757.32x = 279,793.77 × 112,107.82
  4. Step 4: Simplify right side
    202,757.32x = 31,367,069,604.28
  5. Step 5: Solve for x
    x = 31,367,069,604.28/202,757.32
  6. Step 6: Final answer
    x = 154,702.53

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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.