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Finding the Fourth Proportional to 262,817.80, 394,140.30 and 96,584.20

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Solution

The fourth proportional to 262,817.80, 394,140.30 and 96,584.20 is: 144,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,817.80 : 394,140.30 = 96,584.20 : x
  2. Step 2: Convert to fraction form
    262,817.80/394,140.30 = 96,584.20/x
  3. Step 3: Cross multiply
    262,817.80x = 394,140.30 × 96,584.20
  4. Step 4: Simplify right side
    262,817.80x = 38,067,725,563.26
  5. Step 5: Solve for x
    x = 38,067,725,563.26/262,817.80
  6. Step 6: Final answer
    x = 144,844.55

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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.