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Finding the Fourth Proportional to 196,469.94, 271,128.52 and 107,045.94

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Solution

The fourth proportional to 196,469.94, 271,128.52 and 107,045.94 is: 147,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,469.94 : 271,128.52 = 107,045.94 : x
  2. Step 2: Convert to fraction form
    196,469.94/271,128.52 = 107,045.94/x
  3. Step 3: Cross multiply
    196,469.94x = 271,128.52 × 107,045.94
  4. Step 4: Simplify right side
    196,469.94x = 29,023,207,284.21
  5. Step 5: Solve for x
    x = 29,023,207,284.21/196,469.94
  6. Step 6: Final answer
    x = 147,723.40

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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.