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Finding the Fourth Proportional to 309,107.36, 426,605.99 and 188,266.19

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Solution

The fourth proportional to 309,107.36, 426,605.99 and 188,266.19 is: 259,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,107.36 : 426,605.99 = 188,266.19 : x
  2. Step 2: Convert to fraction form
    309,107.36/426,605.99 = 188,266.19/x
  3. Step 3: Cross multiply
    309,107.36x = 426,605.99 × 188,266.19
  4. Step 4: Simplify right side
    309,107.36x = 80,315,481,294.12
  5. Step 5: Solve for x
    x = 80,315,481,294.12/309,107.36
  6. Step 6: Final answer
    x = 259,830.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.