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Finding the Fourth Proportional to 196,497.40, 294,745.24 and 56,256

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Solution

The fourth proportional to 196,497.40, 294,745.24 and 56,256 is: 84,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.40 : 294,745.24 = 56,256 : x
  2. Step 2: Convert to fraction form
    196,497.40/294,745.24 = 56,256/x
  3. Step 3: Cross multiply
    196,497.40x = 294,745.24 × 56,256
  4. Step 4: Simplify right side
    196,497.40x = 16,581,188,221.44
  5. Step 5: Solve for x
    x = 16,581,188,221.44/196,497.40
  6. Step 6: Final answer
    x = 84,383.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.