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Finding the Fourth Proportional to 204,941.22, 307,410.41 and 157,640.54

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Solution

The fourth proportional to 204,941.22, 307,410.41 and 157,640.54 is: 236,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,941.22 : 307,410.41 = 157,640.54 : x
  2. Step 2: Convert to fraction form
    204,941.22/307,410.41 = 157,640.54/x
  3. Step 3: Cross multiply
    204,941.22x = 307,410.41 × 157,640.54
  4. Step 4: Simplify right side
    204,941.22x = 48,460,340,708.77
  5. Step 5: Solve for x
    x = 48,460,340,708.77/204,941.22
  6. Step 6: Final answer
    x = 236,459.71

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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.