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Finding the Fourth Proportional to 199,858.01, 275,819.78 and 113,820.64

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Solution

The fourth proportional to 199,858.01, 275,819.78 and 113,820.64 is: 157,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858.01 : 275,819.78 = 113,820.64 : x
  2. Step 2: Convert to fraction form
    199,858.01/275,819.78 = 113,820.64/x
  3. Step 3: Cross multiply
    199,858.01x = 275,819.78 × 113,820.64
  4. Step 4: Simplify right side
    199,858.01x = 31,393,982,789.71
  5. Step 5: Solve for x
    x = 31,393,982,789.71/199,858.01
  6. Step 6: Final answer
    x = 157,081.43

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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.