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Finding the Fourth Proportional to 196,198, 294,299.77 and 55,956.63

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Solution

The fourth proportional to 196,198, 294,299.77 and 55,956.63 is: 83,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,198 : 294,299.77 = 55,956.63 : x
  2. Step 2: Convert to fraction form
    196,198/294,299.77 = 55,956.63/x
  3. Step 3: Cross multiply
    196,198x = 294,299.77 × 55,956.63
  4. Step 4: Simplify right side
    196,198x = 16,468,023,338.98
  5. Step 5: Solve for x
    x = 16,468,023,338.98/196,198
  6. Step 6: Final answer
    x = 83,935.74

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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.