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Finding the Fourth Proportional to 196,216, 294,326.82 and 55,974.64

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Solution

The fourth proportional to 196,216, 294,326.82 and 55,974.64 is: 83,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,216 : 294,326.82 = 55,974.64 : x
  2. Step 2: Convert to fraction form
    196,216/294,326.82 = 55,974.64/x
  3. Step 3: Cross multiply
    196,216x = 294,326.82 × 55,974.64
  4. Step 4: Simplify right side
    196,216x = 16,474,837,791.84
  5. Step 5: Solve for x
    x = 16,474,837,791.84/196,216
  6. Step 6: Final answer
    x = 83,962.76

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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.