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Finding the Fourth Proportional to 199,647, 275,152.01 and 165,475.53

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Solution

The fourth proportional to 199,647, 275,152.01 and 165,475.53 is: 228,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647 : 275,152.01 = 165,475.53 : x
  2. Step 2: Convert to fraction form
    199,647/275,152.01 = 165,475.53/x
  3. Step 3: Cross multiply
    199,647x = 275,152.01 × 165,475.53
  4. Step 4: Simplify right side
    199,647x = 45,530,923,857.94
  5. Step 5: Solve for x
    x = 45,530,923,857.94/199,647
  6. Step 6: Final answer
    x = 228,057.14

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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.