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Finding the Fourth Proportional to 197,634.50, 296,452.50 and 47,874.50

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Solution

The fourth proportional to 197,634.50, 296,452.50 and 47,874.50 is: 71,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,634.50 : 296,452.50 = 47,874.50 : x
  2. Step 2: Convert to fraction form
    197,634.50/296,452.50 = 47,874.50/x
  3. Step 3: Cross multiply
    197,634.50x = 296,452.50 × 47,874.50
  4. Step 4: Simplify right side
    197,634.50x = 14,192,515,211.25
  5. Step 5: Solve for x
    x = 14,192,515,211.25/197,634.50
  6. Step 6: Final answer
    x = 71,811.93

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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.