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Finding the Fourth Proportional to 123,843.56, 185,792.22 and 40,734.44

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Solution

The fourth proportional to 123,843.56, 185,792.22 and 40,734.44 is: 61,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,843.56 : 185,792.22 = 40,734.44 : x
  2. Step 2: Convert to fraction form
    123,843.56/185,792.22 = 40,734.44/x
  3. Step 3: Cross multiply
    123,843.56x = 185,792.22 × 40,734.44
  4. Step 4: Simplify right side
    123,843.56x = 7,568,142,038.06
  5. Step 5: Solve for x
    x = 7,568,142,038.06/123,843.56
  6. Step 6: Final answer
    x = 61,110.50

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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.