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Finding the Fourth Proportional to 271,037.46, 406,620.78 and 93,546

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Solution

The fourth proportional to 271,037.46, 406,620.78 and 93,546 is: 140,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,037.46 : 406,620.78 = 93,546 : x
  2. Step 2: Convert to fraction form
    271,037.46/406,620.78 = 93,546/x
  3. Step 3: Cross multiply
    271,037.46x = 406,620.78 × 93,546
  4. Step 4: Simplify right side
    271,037.46x = 38,037,747,485.88
  5. Step 5: Solve for x
    x = 38,037,747,485.88/271,037.46
  6. Step 6: Final answer
    x = 140,341.29

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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.