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Finding the Fourth Proportional to 352,120.50, 485,951.40 and 199,160.10

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Solution

The fourth proportional to 352,120.50, 485,951.40 and 199,160.10 is: 274,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,120.50 : 485,951.40 = 199,160.10 : x
  2. Step 2: Convert to fraction form
    352,120.50/485,951.40 = 199,160.10/x
  3. Step 3: Cross multiply
    352,120.50x = 485,951.40 × 199,160.10
  4. Step 4: Simplify right side
    352,120.50x = 96,782,129,419.14
  5. Step 5: Solve for x
    x = 96,782,129,419.14/352,120.50
  6. Step 6: Final answer
    x = 274,855.14

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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.