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Finding the Fourth Proportional to 198,638.10, 274,125.98 and 108,000.16

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Solution

The fourth proportional to 198,638.10, 274,125.98 and 108,000.16 is: 149,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,638.10 : 274,125.98 = 108,000.16 : x
  2. Step 2: Convert to fraction form
    198,638.10/274,125.98 = 108,000.16/x
  3. Step 3: Cross multiply
    198,638.10x = 274,125.98 × 108,000.16
  4. Step 4: Simplify right side
    198,638.10x = 29,605,649,700.16
  5. Step 5: Solve for x
    x = 29,605,649,700.16/198,638.10
  6. Step 6: Final answer
    x = 149,043.16

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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.