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Finding the Fourth Proportional to 271,148.46, 406,775.89 and 100,371.66

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Solution

The fourth proportional to 271,148.46, 406,775.89 and 100,371.66 is: 150,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,148.46 : 406,775.89 = 100,371.66 : x
  2. Step 2: Convert to fraction form
    271,148.46/406,775.89 = 100,371.66/x
  3. Step 3: Cross multiply
    271,148.46x = 406,775.89 × 100,371.66
  4. Step 4: Simplify right side
    271,148.46x = 40,828,771,327.28
  5. Step 5: Solve for x
    x = 40,828,771,327.28/271,148.46
  6. Step 6: Final answer
    x = 150,577.18

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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.