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Finding the Fourth Proportional to 198,571.90, 274,069.10 and 117,983.94

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Solution

The fourth proportional to 198,571.90, 274,069.10 and 117,983.94 is: 162,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.90 : 274,069.10 = 117,983.94 : x
  2. Step 2: Convert to fraction form
    198,571.90/274,069.10 = 117,983.94/x
  3. Step 3: Cross multiply
    198,571.90x = 274,069.10 × 117,983.94
  4. Step 4: Simplify right side
    198,571.90x = 32,335,750,879.91
  5. Step 5: Solve for x
    x = 32,335,750,879.91/198,571.90
  6. Step 6: Final answer
    x = 162,841.52

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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.