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Finding the Fourth Proportional to 204,951.85, 305,367.11 and 193,492.66

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Solution

The fourth proportional to 204,951.85, 305,367.11 and 193,492.66 is: 288,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951.85 : 305,367.11 = 193,492.66 : x
  2. Step 2: Convert to fraction form
    204,951.85/305,367.11 = 193,492.66/x
  3. Step 3: Cross multiply
    204,951.85x = 305,367.11 × 193,492.66
  4. Step 4: Simplify right side
    204,951.85x = 59,086,294,390.41
  5. Step 5: Solve for x
    x = 59,086,294,390.41/204,951.85
  6. Step 6: Final answer
    x = 288,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.