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Finding the Fourth Proportional to 196,996.50, 295,494.75 and 49,252.50

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Solution

The fourth proportional to 196,996.50, 295,494.75 and 49,252.50 is: 73,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,996.50 : 295,494.75 = 49,252.50 : x
  2. Step 2: Convert to fraction form
    196,996.50/295,494.75 = 49,252.50/x
  3. Step 3: Cross multiply
    196,996.50x = 295,494.75 × 49,252.50
  4. Step 4: Simplify right side
    196,996.50x = 14,553,855,174.38
  5. Step 5: Solve for x
    x = 14,553,855,174.38/196,996.50
  6. Step 6: Final answer
    x = 73,878.75

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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.