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Finding the Fourth Proportional to 196,893.76, 271,713.38 and 107,469.76

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Solution

The fourth proportional to 196,893.76, 271,713.38 and 107,469.76 is: 148,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,893.76 : 271,713.38 = 107,469.76 : x
  2. Step 2: Convert to fraction form
    196,893.76/271,713.38 = 107,469.76/x
  3. Step 3: Cross multiply
    196,893.76x = 271,713.38 × 107,469.76
  4. Step 4: Simplify right side
    196,893.76x = 29,200,971,737.39
  5. Step 5: Solve for x
    x = 29,200,971,737.39/196,893.76
  6. Step 6: Final answer
    x = 148,308.26

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1.5x scale

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.