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Finding the Fourth Proportional to 214,202.46, 321,279.21 and 56,443.26

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Solution

The fourth proportional to 214,202.46, 321,279.21 and 56,443.26 is: 84,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,202.46 : 321,279.21 = 56,443.26 : x
  2. Step 2: Convert to fraction form
    214,202.46/321,279.21 = 56,443.26/x
  3. Step 3: Cross multiply
    214,202.46x = 321,279.21 × 56,443.26
  4. Step 4: Simplify right side
    214,202.46x = 18,134,045,982.62
  5. Step 5: Solve for x
    x = 18,134,045,982.62/214,202.46
  6. Step 6: Final answer
    x = 84,658.44

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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.