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Finding the Fourth Proportional to 263,173.50, 394,801.25 and 85,638.60

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Solution

The fourth proportional to 263,173.50, 394,801.25 and 85,638.60 is: 128,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,173.50 : 394,801.25 = 85,638.60 : x
  2. Step 2: Convert to fraction form
    263,173.50/394,801.25 = 85,638.60/x
  3. Step 3: Cross multiply
    263,173.50x = 394,801.25 × 85,638.60
  4. Step 4: Simplify right side
    263,173.50x = 33,810,225,900.06
  5. Step 5: Solve for x
    x = 33,810,225,900.06/263,173.50
  6. Step 6: Final answer
    x = 128,471.24

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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.