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Finding the Fourth Proportional to 279,855.55, 386,255.77 and 194,923.41

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Solution

The fourth proportional to 279,855.55, 386,255.77 and 194,923.41 is: 269,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,855.55 : 386,255.77 = 194,923.41 : x
  2. Step 2: Convert to fraction form
    279,855.55/386,255.77 = 194,923.41/x
  3. Step 3: Cross multiply
    279,855.55x = 386,255.77 × 194,923.41
  4. Step 4: Simplify right side
    279,855.55x = 75,290,290,981.25
  5. Step 5: Solve for x
    x = 75,290,290,981.25/279,855.55
  6. Step 6: Final answer
    x = 269,032.69

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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.