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Finding the Fourth Proportional to 227,745.80, 341,721.10 and 103,022.60

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Solution

The fourth proportional to 227,745.80, 341,721.10 and 103,022.60 is: 154,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,745.80 : 341,721.10 = 103,022.60 : x
  2. Step 2: Convert to fraction form
    227,745.80/341,721.10 = 103,022.60/x
  3. Step 3: Cross multiply
    227,745.80x = 341,721.10 × 103,022.60
  4. Step 4: Simplify right side
    227,745.80x = 35,204,996,196.86
  5. Step 5: Solve for x
    x = 35,204,996,196.86/227,745.80
  6. Step 6: Final answer
    x = 154,580.22

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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.