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Finding the Fourth Proportional to 271,207.35, 406,838.01 and 100,474.74

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Solution

The fourth proportional to 271,207.35, 406,838.01 and 100,474.74 is: 150,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,207.35 : 406,838.01 = 100,474.74 : x
  2. Step 2: Convert to fraction form
    271,207.35/406,838.01 = 100,474.74/x
  3. Step 3: Cross multiply
    271,207.35x = 406,838.01 × 100,474.74
  4. Step 4: Simplify right side
    271,207.35x = 40,876,943,276.87
  5. Step 5: Solve for x
    x = 40,876,943,276.87/271,207.35
  6. Step 6: Final answer
    x = 150,722.11

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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.