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Finding the Fourth Proportional to 226,828.86, 340,242.84 and 67,017

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Solution

The fourth proportional to 226,828.86, 340,242.84 and 67,017 is: 100,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,828.86 : 340,242.84 = 67,017 : x
  2. Step 2: Convert to fraction form
    226,828.86/340,242.84 = 67,017/x
  3. Step 3: Cross multiply
    226,828.86x = 340,242.84 × 67,017
  4. Step 4: Simplify right side
    226,828.86x = 22,802,054,408.28
  5. Step 5: Solve for x
    x = 22,802,054,408.28/226,828.86
  6. Step 6: Final answer
    x = 100,525.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.