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Finding the Fourth Proportional to 204,608.85, 282,374.36 and 124,039.77

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Solution

The fourth proportional to 204,608.85, 282,374.36 and 124,039.77 is: 171,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,608.85 : 282,374.36 = 124,039.77 : x
  2. Step 2: Convert to fraction form
    204,608.85/282,374.36 = 124,039.77/x
  3. Step 3: Cross multiply
    204,608.85x = 282,374.36 × 124,039.77
  4. Step 4: Simplify right side
    204,608.85x = 35,025,650,668.30
  5. Step 5: Solve for x
    x = 35,025,650,668.30/204,608.85
  6. Step 6: Final answer
    x = 171,183.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.