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Finding the Fourth Proportional to 196,647.75, 271,373.90 and 107,223.75

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Solution

The fourth proportional to 196,647.75, 271,373.90 and 107,223.75 is: 147,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,647.75 : 271,373.90 = 107,223.75 : x
  2. Step 2: Convert to fraction form
    196,647.75/271,373.90 = 107,223.75/x
  3. Step 3: Cross multiply
    196,647.75x = 271,373.90 × 107,223.75
  4. Step 4: Simplify right side
    196,647.75x = 29,097,726,674.01
  5. Step 5: Solve for x
    x = 29,097,726,674.01/196,647.75
  6. Step 6: Final answer
    x = 147,968.78

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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.