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Finding the Fourth Proportional to 198,456, 273,868.12 and 107,811.16

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Solution

The fourth proportional to 198,456, 273,868.12 and 107,811.16 is: 148,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,456 : 273,868.12 = 107,811.16 : x
  2. Step 2: Convert to fraction form
    198,456/273,868.12 = 107,811.16/x
  3. Step 3: Cross multiply
    198,456x = 273,868.12 × 107,811.16
  4. Step 4: Simplify right side
    198,456x = 29,526,039,704.22
  5. Step 5: Solve for x
    x = 29,526,039,704.22/198,456
  6. Step 6: Final answer
    x = 148,778.77

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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.