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Finding the Fourth Proportional to 196,167, 294,251.22 and 48,423

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Solution

The fourth proportional to 196,167, 294,251.22 and 48,423 is: 72,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,167 : 294,251.22 = 48,423 : x
  2. Step 2: Convert to fraction form
    196,167/294,251.22 = 48,423/x
  3. Step 3: Cross multiply
    196,167x = 294,251.22 × 48,423
  4. Step 4: Simplify right side
    196,167x = 14,248,526,826.06
  5. Step 5: Solve for x
    x = 14,248,526,826.06/196,167
  6. Step 6: Final answer
    x = 72,634.68

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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.