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Finding the Fourth Proportional to 204,212.76, 306,319.14 and 93,327

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Solution

The fourth proportional to 204,212.76, 306,319.14 and 93,327 is: 139,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,212.76 : 306,319.14 = 93,327 : x
  2. Step 2: Convert to fraction form
    204,212.76/306,319.14 = 93,327/x
  3. Step 3: Cross multiply
    204,212.76x = 306,319.14 × 93,327
  4. Step 4: Simplify right side
    204,212.76x = 28,587,846,378.78
  5. Step 5: Solve for x
    x = 28,587,846,378.78/204,212.76
  6. Step 6: Final answer
    x = 139,990.50

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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.