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Finding the Fourth Proportional to 198,730.68, 274,141.88 and 138,196.24

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Solution

The fourth proportional to 198,730.68, 274,141.88 and 138,196.24 is: 190,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,730.68 : 274,141.88 = 138,196.24 : x
  2. Step 2: Convert to fraction form
    198,730.68/274,141.88 = 138,196.24/x
  3. Step 3: Cross multiply
    198,730.68x = 274,141.88 × 138,196.24
  4. Step 4: Simplify right side
    198,730.68x = 37,885,377,042.53
  5. Step 5: Solve for x
    x = 37,885,377,042.53/198,730.68
  6. Step 6: Final answer
    x = 190,636.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.