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Finding the Fourth Proportional to 196,857.94, 295,333.84 and 63,738.24

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Solution

The fourth proportional to 196,857.94, 295,333.84 and 63,738.24 is: 95,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857.94 : 295,333.84 = 63,738.24 : x
  2. Step 2: Convert to fraction form
    196,857.94/295,333.84 = 63,738.24/x
  3. Step 3: Cross multiply
    196,857.94x = 295,333.84 × 63,738.24
  4. Step 4: Simplify right side
    196,857.94x = 18,824,059,174.04
  5. Step 5: Solve for x
    x = 18,824,059,174.04/196,857.94
  6. Step 6: Final answer
    x = 95,622.55

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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.