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Finding the Fourth Proportional to 197,057.64, 295,704.22 and 72,411.24

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Solution

The fourth proportional to 197,057.64, 295,704.22 and 72,411.24 is: 108,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057.64 : 295,704.22 = 72,411.24 : x
  2. Step 2: Convert to fraction form
    197,057.64/295,704.22 = 72,411.24/x
  3. Step 3: Cross multiply
    197,057.64x = 295,704.22 × 72,411.24
  4. Step 4: Simplify right side
    197,057.64x = 21,412,309,243.43
  5. Step 5: Solve for x
    x = 21,412,309,243.43/197,057.64
  6. Step 6: Final answer
    x = 108,660.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.