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Finding the Fourth Proportional to 199,497, 275,311.62 and 110,078.76

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Solution

The fourth proportional to 199,497, 275,311.62 and 110,078.76 is: 151,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,497 : 275,311.62 = 110,078.76 : x
  2. Step 2: Convert to fraction form
    199,497/275,311.62 = 110,078.76/x
  3. Step 3: Cross multiply
    199,497x = 275,311.62 × 110,078.76
  4. Step 4: Simplify right side
    199,497x = 30,305,961,743.19
  5. Step 5: Solve for x
    x = 30,305,961,743.19/199,497
  6. Step 6: Final answer
    x = 151,911.87

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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.