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Finding the Fourth Proportional to 199,580.52, 275,414.27 and 118,966.49

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Solution

The fourth proportional to 199,580.52, 275,414.27 and 118,966.49 is: 164,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,580.52 : 275,414.27 = 118,966.49 : x
  2. Step 2: Convert to fraction form
    199,580.52/275,414.27 = 118,966.49/x
  3. Step 3: Cross multiply
    199,580.52x = 275,414.27 × 118,966.49
  4. Step 4: Simplify right side
    199,580.52x = 32,765,067,025.91
  5. Step 5: Solve for x
    x = 32,765,067,025.91/199,580.52
  6. Step 6: Final answer
    x = 164,169.66

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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.