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Finding the Fourth Proportional to 199,500, 275,310 and 110,076

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Solution

The fourth proportional to 199,500, 275,310 and 110,076 is: 151,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,500 : 275,310 = 110,076 : x
  2. Step 2: Convert to fraction form
    199,500/275,310 = 110,076/x
  3. Step 3: Cross multiply
    199,500x = 275,310 × 110,076
  4. Step 4: Simplify right side
    199,500x = 30,305,023,560
  5. Step 5: Solve for x
    x = 30,305,023,560/199,500
  6. Step 6: Final answer
    x = 151,904.88

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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.