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Finding the Fourth Proportional to 198,738.36, 274,258.74 and 113,855.76

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Solution

The fourth proportional to 198,738.36, 274,258.74 and 113,855.76 is: 157,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,738.36 : 274,258.74 = 113,855.76 : x
  2. Step 2: Convert to fraction form
    198,738.36/274,258.74 = 113,855.76/x
  3. Step 3: Cross multiply
    198,738.36x = 274,258.74 × 113,855.76
  4. Step 4: Simplify right side
    198,738.36x = 31,225,937,279.34
  5. Step 5: Solve for x
    x = 31,225,937,279.34/198,738.36
  6. Step 6: Final answer
    x = 157,120.84

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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.