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Finding the Fourth Proportional to 196,686, 271,428.12 and 107,262

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Solution

The fourth proportional to 196,686, 271,428.12 and 107,262 is: 148,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,686 : 271,428.12 = 107,262 : x
  2. Step 2: Convert to fraction form
    196,686/271,428.12 = 107,262/x
  3. Step 3: Cross multiply
    196,686x = 271,428.12 × 107,262
  4. Step 4: Simplify right side
    196,686x = 29,113,923,007.44
  5. Step 5: Solve for x
    x = 29,113,923,007.44/196,686
  6. Step 6: Final answer
    x = 148,022.35

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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.