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Finding the Fourth Proportional to 196,997.84, 295,496.76 and 49,253.84

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Solution

The fourth proportional to 196,997.84, 295,496.76 and 49,253.84 is: 73,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,997.84 : 295,496.76 = 49,253.84 : x
  2. Step 2: Convert to fraction form
    196,997.84/295,496.76 = 49,253.84/x
  3. Step 3: Cross multiply
    196,997.84x = 295,496.76 × 49,253.84
  4. Step 4: Simplify right side
    196,997.84x = 14,554,350,137.56
  5. Step 5: Solve for x
    x = 14,554,350,137.56/196,997.84
  6. Step 6: Final answer
    x = 73,880.76

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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.