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Finding the Fourth Proportional to 198,848.68, 274,403.10 and 113,906.68

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Solution

The fourth proportional to 198,848.68, 274,403.10 and 113,906.68 is: 157,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,848.68 : 274,403.10 = 113,906.68 : x
  2. Step 2: Convert to fraction form
    198,848.68/274,403.10 = 113,906.68/x
  3. Step 3: Cross multiply
    198,848.68x = 274,403.10 × 113,906.68
  4. Step 4: Simplify right side
    198,848.68x = 31,256,346,102.71
  5. Step 5: Solve for x
    x = 31,256,346,102.71/198,848.68
  6. Step 6: Final answer
    x = 157,186.59

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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.