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Finding the Fourth Proportional to 196,996, 295,494 and 49,252

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Solution

The fourth proportional to 196,996, 295,494 and 49,252 is: 73,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,996 : 295,494 = 49,252 : x
  2. Step 2: Convert to fraction form
    196,996/295,494 = 49,252/x
  3. Step 3: Cross multiply
    196,996x = 295,494 × 49,252
  4. Step 4: Simplify right side
    196,996x = 14,553,670,488
  5. Step 5: Solve for x
    x = 14,553,670,488/196,996
  6. Step 6: Final answer
    x = 73,878

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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.