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Finding the Fourth Proportional to 198,959.80, 274,483.20 and 122,455.80

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Solution

The fourth proportional to 198,959.80, 274,483.20 and 122,455.80 is: 168,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.80 : 274,483.20 = 122,455.80 : x
  2. Step 2: Convert to fraction form
    198,959.80/274,483.20 = 122,455.80/x
  3. Step 3: Cross multiply
    198,959.80x = 274,483.20 × 122,455.80
  4. Step 4: Simplify right side
    198,959.80x = 33,612,059,842.56
  5. Step 5: Solve for x
    x = 33,612,059,842.56/198,959.80
  6. Step 6: Final answer
    x = 168,938.95

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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.