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Finding the Fourth Proportional to 192,197.74, 288,297.63 and 126,056.71

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Solution

The fourth proportional to 192,197.74, 288,297.63 and 126,056.71 is: 189,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,197.74 : 288,297.63 = 126,056.71 : x
  2. Step 2: Convert to fraction form
    192,197.74/288,297.63 = 126,056.71/x
  3. Step 3: Cross multiply
    192,197.74x = 288,297.63 × 126,056.71
  4. Step 4: Simplify right side
    192,197.74x = 36,341,850,738.60
  5. Step 5: Solve for x
    x = 36,341,850,738.60/192,197.74
  6. Step 6: Final answer
    x = 189,085.73

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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.