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Finding the Fourth Proportional to 270,940.10, 406,410.15 and 164,651.90

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Solution

The fourth proportional to 270,940.10, 406,410.15 and 164,651.90 is: 246,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940.10 : 406,410.15 = 164,651.90 : x
  2. Step 2: Convert to fraction form
    270,940.10/406,410.15 = 164,651.90/x
  3. Step 3: Cross multiply
    270,940.10x = 406,410.15 × 164,651.90
  4. Step 4: Simplify right side
    270,940.10x = 66,916,203,376.79
  5. Step 5: Solve for x
    x = 66,916,203,376.79/270,940.10
  6. Step 6: Final answer
    x = 246,977.85

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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.