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Finding the Fourth Proportional to 198,751.32, 274,276.82 and 113,917.59

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Solution

The fourth proportional to 198,751.32, 274,276.82 and 113,917.59 is: 157,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,751.32 : 274,276.82 = 113,917.59 : x
  2. Step 2: Convert to fraction form
    198,751.32/274,276.82 = 113,917.59/x
  3. Step 3: Cross multiply
    198,751.32x = 274,276.82 × 113,917.59
  4. Step 4: Simplify right side
    198,751.32x = 31,244,953,757.68
  5. Step 5: Solve for x
    x = 31,244,953,757.68/198,751.32
  6. Step 6: Final answer
    x = 157,206.27

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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.