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Finding the Fourth Proportional to 199,963.26, 275,952.60 and 119,397.83

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Solution

The fourth proportional to 199,963.26, 275,952.60 and 119,397.83 is: 164,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,963.26 : 275,952.60 = 119,397.83 : x
  2. Step 2: Convert to fraction form
    199,963.26/275,952.60 = 119,397.83/x
  3. Step 3: Cross multiply
    199,963.26x = 275,952.60 × 119,397.83
  4. Step 4: Simplify right side
    199,963.26x = 32,948,140,243.10
  5. Step 5: Solve for x
    x = 32,948,140,243.10/199,963.26
  6. Step 6: Final answer
    x = 164,770.97

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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.