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Finding the Fourth Proportional to 196,432, 271,076.16 and 107,008

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Solution

The fourth proportional to 196,432, 271,076.16 and 107,008 is: 147,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,432 : 271,076.16 = 107,008 : x
  2. Step 2: Convert to fraction form
    196,432/271,076.16 = 107,008/x
  3. Step 3: Cross multiply
    196,432x = 271,076.16 × 107,008
  4. Step 4: Simplify right side
    196,432x = 29,007,317,729.28
  5. Step 5: Solve for x
    x = 29,007,317,729.28/196,432
  6. Step 6: Final answer
    x = 147,671.04

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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.