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Finding the Fourth Proportional to 171,912.24, 257,868 and 96,998.40

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Solution

The fourth proportional to 171,912.24, 257,868 and 96,998.40 is: 145,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912.24 : 257,868 = 96,998.40 : x
  2. Step 2: Convert to fraction form
    171,912.24/257,868 = 96,998.40/x
  3. Step 3: Cross multiply
    171,912.24x = 257,868 × 96,998.40
  4. Step 4: Simplify right side
    171,912.24x = 25,012,783,411.20
  5. Step 5: Solve for x
    x = 25,012,783,411.20/171,912.24
  6. Step 6: Final answer
    x = 145,497.40

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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.