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Finding the Fourth Proportional to 263,107.40, 394,466.70 and 144,912.20

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Solution

The fourth proportional to 263,107.40, 394,466.70 and 144,912.20 is: 217,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,107.40 : 394,466.70 = 144,912.20 : x
  2. Step 2: Convert to fraction form
    263,107.40/394,466.70 = 144,912.20/x
  3. Step 3: Cross multiply
    263,107.40x = 394,466.70 × 144,912.20
  4. Step 4: Simplify right side
    263,107.40x = 57,163,037,323.74
  5. Step 5: Solve for x
    x = 57,163,037,323.74/263,107.40
  6. Step 6: Final answer
    x = 217,261.23

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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.