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Finding the Fourth Proportional to 198,707.68, 274,219.02 and 108,065.95

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Solution

The fourth proportional to 198,707.68, 274,219.02 and 108,065.95 is: 149,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,707.68 : 274,219.02 = 108,065.95 : x
  2. Step 2: Convert to fraction form
    198,707.68/274,219.02 = 108,065.95/x
  3. Step 3: Cross multiply
    198,707.68x = 274,219.02 × 108,065.95
  4. Step 4: Simplify right side
    198,707.68x = 29,633,738,218.82
  5. Step 5: Solve for x
    x = 29,633,738,218.82/198,707.68
  6. Step 6: Final answer
    x = 149,132.32

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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.