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Finding the Fourth Proportional to 204,481.44, 306,724.10 and 127,567.80

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Solution

The fourth proportional to 204,481.44, 306,724.10 and 127,567.80 is: 191,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,481.44 : 306,724.10 = 127,567.80 : x
  2. Step 2: Convert to fraction form
    204,481.44/306,724.10 = 127,567.80/x
  3. Step 3: Cross multiply
    204,481.44x = 306,724.10 × 127,567.80
  4. Step 4: Simplify right side
    204,481.44x = 39,128,118,643.98
  5. Step 5: Solve for x
    x = 39,128,118,643.98/204,481.44
  6. Step 6: Final answer
    x = 191,352.91

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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.