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Finding the Fourth Proportional to 151,830.60, 227,745.90 and 81,846.60

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Solution

The fourth proportional to 151,830.60, 227,745.90 and 81,846.60 is: 122,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,830.60 : 227,745.90 = 81,846.60 : x
  2. Step 2: Convert to fraction form
    151,830.60/227,745.90 = 81,846.60/x
  3. Step 3: Cross multiply
    151,830.60x = 227,745.90 × 81,846.60
  4. Step 4: Simplify right side
    151,830.60x = 18,640,227,578.94
  5. Step 5: Solve for x
    x = 18,640,227,578.94/151,830.60
  6. Step 6: Final answer
    x = 122,769.90

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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.