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Finding the Fourth Proportional to 196,766, 295,198.82 and 56,524.63

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Solution

The fourth proportional to 196,766, 295,198.82 and 56,524.63 is: 84,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,766 : 295,198.82 = 56,524.63 : x
  2. Step 2: Convert to fraction form
    196,766/295,198.82 = 56,524.63/x
  3. Step 3: Cross multiply
    196,766x = 295,198.82 × 56,524.63
  4. Step 4: Simplify right side
    196,766x = 16,686,004,076.94
  5. Step 5: Solve for x
    x = 16,686,004,076.94/196,766
  6. Step 6: Final answer
    x = 84,801.26

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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.