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Finding the Fourth Proportional to 141,912.36, 212,863.91 and 57,647.60

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Solution

The fourth proportional to 141,912.36, 212,863.91 and 57,647.60 is: 86,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912.36 : 212,863.91 = 57,647.60 : x
  2. Step 2: Convert to fraction form
    141,912.36/212,863.91 = 57,647.60/x
  3. Step 3: Cross multiply
    141,912.36x = 212,863.91 × 57,647.60
  4. Step 4: Simplify right side
    141,912.36x = 12,271,092,185.56
  5. Step 5: Solve for x
    x = 12,271,092,185.56/141,912.36
  6. Step 6: Final answer
    x = 86,469.51

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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.