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Finding the Fourth Proportional to 199,743, 275,662.86 and 110,336.28

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Solution

The fourth proportional to 199,743, 275,662.86 and 110,336.28 is: 152,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,743 : 275,662.86 = 110,336.28 : x
  2. Step 2: Convert to fraction form
    199,743/275,662.86 = 110,336.28/x
  3. Step 3: Cross multiply
    199,743x = 275,662.86 × 110,336.28
  4. Step 4: Simplify right side
    199,743x = 30,415,614,506.56
  5. Step 5: Solve for x
    x = 30,415,614,506.56/199,743
  6. Step 6: Final answer
    x = 152,273.74

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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.