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Finding the Fourth Proportional to 196,629, 294,944.62 and 48,885

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Solution

The fourth proportional to 196,629, 294,944.62 and 48,885 is: 73,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,629 : 294,944.62 = 48,885 : x
  2. Step 2: Convert to fraction form
    196,629/294,944.62 = 48,885/x
  3. Step 3: Cross multiply
    196,629x = 294,944.62 × 48,885
  4. Step 4: Simplify right side
    196,629x = 14,418,367,748.70
  5. Step 5: Solve for x
    x = 14,418,367,748.70/196,629
  6. Step 6: Final answer
    x = 73,327.78

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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.