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Finding the Fourth Proportional to 271,374.61, 407,097.96 and 100,572.68

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Solution

The fourth proportional to 271,374.61, 407,097.96 and 100,572.68 is: 150,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,374.61 : 407,097.96 = 100,572.68 : x
  2. Step 2: Convert to fraction form
    271,374.61/407,097.96 = 100,572.68/x
  3. Step 3: Cross multiply
    271,374.61x = 407,097.96 × 100,572.68
  4. Step 4: Simplify right side
    271,374.61x = 40,942,932,859.73
  5. Step 5: Solve for x
    x = 40,942,932,859.73/271,374.61
  6. Step 6: Final answer
    x = 150,872.38

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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.