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Finding the Fourth Proportional to 123,469.56, 185,203.50 and 34,722.48

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Solution

The fourth proportional to 123,469.56, 185,203.50 and 34,722.48 is: 52,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,469.56 : 185,203.50 = 34,722.48 : x
  2. Step 2: Convert to fraction form
    123,469.56/185,203.50 = 34,722.48/x
  3. Step 3: Cross multiply
    123,469.56x = 185,203.50 × 34,722.48
  4. Step 4: Simplify right side
    123,469.56x = 6,430,724,824.68
  5. Step 5: Solve for x
    x = 6,430,724,824.68/123,469.56
  6. Step 6: Final answer
    x = 52,083.48

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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.