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Finding the Fourth Proportional to 198,803.32, 274,354.86 and 113,947

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Solution

The fourth proportional to 198,803.32, 274,354.86 and 113,947 is: 157,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,803.32 : 274,354.86 = 113,947 : x
  2. Step 2: Convert to fraction form
    198,803.32/274,354.86 = 113,947/x
  3. Step 3: Cross multiply
    198,803.32x = 274,354.86 × 113,947
  4. Step 4: Simplify right side
    198,803.32x = 31,261,913,232.42
  5. Step 5: Solve for x
    x = 31,261,913,232.42/198,803.32
  6. Step 6: Final answer
    x = 157,250.46

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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.