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Finding the Fourth Proportional to 198,663.64, 274,161.66 and 108,019.48

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Solution

The fourth proportional to 198,663.64, 274,161.66 and 108,019.48 is: 149,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,663.64 : 274,161.66 = 108,019.48 : x
  2. Step 2: Convert to fraction form
    198,663.64/274,161.66 = 108,019.48/x
  3. Step 3: Cross multiply
    198,663.64x = 274,161.66 × 108,019.48
  4. Step 4: Simplify right side
    198,663.64x = 29,614,799,949.14
  5. Step 5: Solve for x
    x = 29,614,799,949.14/198,663.64
  6. Step 6: Final answer
    x = 149,070.06

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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.