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Finding the Fourth Proportional to 192,805.41, 289,327.86 and 92,975.88

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Solution

The fourth proportional to 192,805.41, 289,327.86 and 92,975.88 is: 139,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,805.41 : 289,327.86 = 92,975.88 : x
  2. Step 2: Convert to fraction form
    192,805.41/289,327.86 = 92,975.88/x
  3. Step 3: Cross multiply
    192,805.41x = 289,327.86 × 92,975.88
  4. Step 4: Simplify right side
    192,805.41x = 26,900,512,392.02
  5. Step 5: Solve for x
    x = 26,900,512,392.02/192,805.41
  6. Step 6: Final answer
    x = 139,521.56

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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.