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Finding the Fourth Proportional to 201,235.10, 301,743.30 and 68,046.80

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Solution

The fourth proportional to 201,235.10, 301,743.30 and 68,046.80 is: 102,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,235.10 : 301,743.30 = 68,046.80 : x
  2. Step 2: Convert to fraction form
    201,235.10/301,743.30 = 68,046.80/x
  3. Step 3: Cross multiply
    201,235.10x = 301,743.30 × 68,046.80
  4. Step 4: Simplify right side
    201,235.10x = 20,532,665,986.44
  5. Step 5: Solve for x
    x = 20,532,665,986.44/201,235.10
  6. Step 6: Final answer
    x = 102,033.22

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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.