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Finding the Fourth Proportional to 196,171, 294,257.24 and 48,427

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Solution

The fourth proportional to 196,171, 294,257.24 and 48,427 is: 72,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,171 : 294,257.24 = 48,427 : x
  2. Step 2: Convert to fraction form
    196,171/294,257.24 = 48,427/x
  3. Step 3: Cross multiply
    196,171x = 294,257.24 × 48,427
  4. Step 4: Simplify right side
    196,171x = 14,249,995,361.48
  5. Step 5: Solve for x
    x = 14,249,995,361.48/196,171
  6. Step 6: Final answer
    x = 72,640.68

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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.