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Finding the Fourth Proportional to 196,350, 294,525 and 48,606

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Solution

The fourth proportional to 196,350, 294,525 and 48,606 is: 72,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,350 : 294,525 = 48,606 : x
  2. Step 2: Convert to fraction form
    196,350/294,525 = 48,606/x
  3. Step 3: Cross multiply
    196,350x = 294,525 × 48,606
  4. Step 4: Simplify right side
    196,350x = 14,315,682,150
  5. Step 5: Solve for x
    x = 14,315,682,150/196,350
  6. Step 6: Final answer
    x = 72,909

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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.