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Finding the Fourth Proportional to 196,998, 295,497 and 49,254

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Solution

The fourth proportional to 196,998, 295,497 and 49,254 is: 73,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,998 : 295,497 = 49,254 : x
  2. Step 2: Convert to fraction form
    196,998/295,497 = 49,254/x
  3. Step 3: Cross multiply
    196,998x = 295,497 × 49,254
  4. Step 4: Simplify right side
    196,998x = 14,554,409,238
  5. Step 5: Solve for x
    x = 14,554,409,238/196,998
  6. Step 6: Final answer
    x = 73,881

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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.