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Finding the Fourth Proportional to 196,997.25, 295,495.88 and 49,253.25

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Solution

The fourth proportional to 196,997.25, 295,495.88 and 49,253.25 is: 73,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,997.25 : 295,495.88 = 49,253.25 : x
  2. Step 2: Convert to fraction form
    196,997.25/295,495.88 = 49,253.25/x
  3. Step 3: Cross multiply
    196,997.25x = 295,495.88 × 49,253.25
  4. Step 4: Simplify right side
    196,997.25x = 14,554,132,205.34
  5. Step 5: Solve for x
    x = 14,554,132,205.34/196,997.25
  6. Step 6: Final answer
    x = 73,879.88

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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.