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Finding the Fourth Proportional to 199,858.62, 275,820.63 and 113,821.26

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Solution

The fourth proportional to 199,858.62, 275,820.63 and 113,821.26 is: 157,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858.62 : 275,820.63 = 113,821.26 : x
  2. Step 2: Convert to fraction form
    199,858.62/275,820.63 = 113,821.26/x
  3. Step 3: Cross multiply
    199,858.62x = 275,820.63 × 113,821.26
  4. Step 4: Simplify right side
    199,858.62x = 31,394,251,640.59
  5. Step 5: Solve for x
    x = 31,394,251,640.59/199,858.62
  6. Step 6: Final answer
    x = 157,082.30

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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.