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Finding the Fourth Proportional to 198,590.52, 274,054.90 and 109,166.52

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Solution

The fourth proportional to 198,590.52, 274,054.90 and 109,166.52 is: 150,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590.52 : 274,054.90 = 109,166.52 : x
  2. Step 2: Convert to fraction form
    198,590.52/274,054.90 = 109,166.52/x
  3. Step 3: Cross multiply
    198,590.52x = 274,054.90 × 109,166.52
  4. Step 4: Simplify right side
    198,590.52x = 29,917,619,721.95
  5. Step 5: Solve for x
    x = 29,917,619,721.95/198,590.52
  6. Step 6: Final answer
    x = 150,649.79

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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.