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Finding the Fourth Proportional to 208,244.50, 312,366.74 and 50,472.95

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Solution

The fourth proportional to 208,244.50, 312,366.74 and 50,472.95 is: 75,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,244.50 : 312,366.74 = 50,472.95 : x
  2. Step 2: Convert to fraction form
    208,244.50/312,366.74 = 50,472.95/x
  3. Step 3: Cross multiply
    208,244.50x = 312,366.74 × 50,472.95
  4. Step 4: Simplify right side
    208,244.50x = 15,766,070,849.68
  5. Step 5: Solve for x
    x = 15,766,070,849.68/208,244.50
  6. Step 6: Final answer
    x = 75,709.42

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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.