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Finding the Fourth Proportional to 214,421.96, 321,589.20 and 81,256.34

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Solution

The fourth proportional to 214,421.96, 321,589.20 and 81,256.34 is: 121,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,421.96 : 321,589.20 = 81,256.34 : x
  2. Step 2: Convert to fraction form
    214,421.96/321,589.20 = 81,256.34/x
  3. Step 3: Cross multiply
    214,421.96x = 321,589.20 × 81,256.34
  4. Step 4: Simplify right side
    214,421.96x = 26,131,161,375.53
  5. Step 5: Solve for x
    x = 26,131,161,375.53/214,421.96
  6. Step 6: Final answer
    x = 121,867.93

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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.