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Finding the Fourth Proportional to 199,496, 275,310.24 and 110,077.76

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Solution

The fourth proportional to 199,496, 275,310.24 and 110,077.76 is: 151,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496 : 275,310.24 = 110,077.76 : x
  2. Step 2: Convert to fraction form
    199,496/275,310.24 = 110,077.76/x
  3. Step 3: Cross multiply
    199,496x = 275,310.24 × 110,077.76
  4. Step 4: Simplify right side
    199,496x = 30,305,534,524.26
  5. Step 5: Solve for x
    x = 30,305,534,524.26/199,496
  6. Step 6: Final answer
    x = 151,910.49

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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.