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Finding the Fourth Proportional to 199,422.38, 275,203.74 and 108,780.32

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Solution

The fourth proportional to 199,422.38, 275,203.74 and 108,780.32 is: 150,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,422.38 : 275,203.74 = 108,780.32 : x
  2. Step 2: Convert to fraction form
    199,422.38/275,203.74 = 108,780.32/x
  3. Step 3: Cross multiply
    199,422.38x = 275,203.74 × 108,780.32
  4. Step 4: Simplify right side
    199,422.38x = 29,936,750,902.40
  5. Step 5: Solve for x
    x = 29,936,750,902.40/199,422.38
  6. Step 6: Final answer
    x = 150,117.31

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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.