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Finding the Fourth Proportional to 196,771.50, 295,253.61 and 84,418.47

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Solution

The fourth proportional to 196,771.50, 295,253.61 and 84,418.47 is: 126,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,771.50 : 295,253.61 = 84,418.47 : x
  2. Step 2: Convert to fraction form
    196,771.50/295,253.61 = 84,418.47/x
  3. Step 3: Cross multiply
    196,771.50x = 295,253.61 × 84,418.47
  4. Step 4: Simplify right side
    196,771.50x = 24,924,858,018.18
  5. Step 5: Solve for x
    x = 24,924,858,018.18/196,771.50
  6. Step 6: Final answer
    x = 126,669.05

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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.