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Finding the Fourth Proportional to 262,835.20, 394,252.80 and 157,772.80

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Solution

The fourth proportional to 262,835.20, 394,252.80 and 157,772.80 is: 236,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,835.20 : 394,252.80 = 157,772.80 : x
  2. Step 2: Convert to fraction form
    262,835.20/394,252.80 = 157,772.80/x
  3. Step 3: Cross multiply
    262,835.20x = 394,252.80 × 157,772.80
  4. Step 4: Simplify right side
    262,835.20x = 62,202,368,163.84
  5. Step 5: Solve for x
    x = 62,202,368,163.84/262,835.20
  6. Step 6: Final answer
    x = 236,659.20

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Why These Related Problems?

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