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Finding the Fourth Proportional to 196,524.54, 294,786.81 and 48,780.54

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Solution

The fourth proportional to 196,524.54, 294,786.81 and 48,780.54 is: 73,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524.54 : 294,786.81 = 48,780.54 : x
  2. Step 2: Convert to fraction form
    196,524.54/294,786.81 = 48,780.54/x
  3. Step 3: Cross multiply
    196,524.54x = 294,786.81 × 48,780.54
  4. Step 4: Simplify right side
    196,524.54x = 14,379,859,776.68
  5. Step 5: Solve for x
    x = 14,379,859,776.68/196,524.54
  6. Step 6: Final answer
    x = 73,170.81

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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.