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Finding the Fourth Proportional to 198,563.10, 274,056.92 and 117,975.10

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Solution

The fourth proportional to 198,563.10, 274,056.92 and 117,975.10 is: 162,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,563.10 : 274,056.92 = 117,975.10 : x
  2. Step 2: Convert to fraction form
    198,563.10/274,056.92 = 117,975.10/x
  3. Step 3: Cross multiply
    198,563.10x = 274,056.92 × 117,975.10
  4. Step 4: Simplify right side
    198,563.10x = 32,331,892,542.69
  5. Step 5: Solve for x
    x = 32,331,892,542.69/198,563.10
  6. Step 6: Final answer
    x = 162,829.31

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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.