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Finding the Fourth Proportional to 198,880, 274,458.72 and 109,456

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Solution

The fourth proportional to 198,880, 274,458.72 and 109,456 is: 151,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,880 : 274,458.72 = 109,456 : x
  2. Step 2: Convert to fraction form
    198,880/274,458.72 = 109,456/x
  3. Step 3: Cross multiply
    198,880x = 274,458.72 × 109,456
  4. Step 4: Simplify right side
    198,880x = 30,041,153,656.32
  5. Step 5: Solve for x
    x = 30,041,153,656.32/198,880
  6. Step 6: Final answer
    x = 151,051.66

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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.