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Finding the Fourth Proportional to 196,523.50, 271,202.70 and 107,099.50

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Solution

The fourth proportional to 196,523.50, 271,202.70 and 107,099.50 is: 147,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,523.50 : 271,202.70 = 107,099.50 : x
  2. Step 2: Convert to fraction form
    196,523.50/271,202.70 = 107,099.50/x
  3. Step 3: Cross multiply
    196,523.50x = 271,202.70 × 107,099.50
  4. Step 4: Simplify right side
    196,523.50x = 29,045,673,568.65
  5. Step 5: Solve for x
    x = 29,045,673,568.65/196,523.50
  6. Step 6: Final answer
    x = 147,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.