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Finding the Fourth Proportional to 214,324.64, 321,345.12 and 95,832.80

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Solution

The fourth proportional to 214,324.64, 321,345.12 and 95,832.80 is: 143,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,324.64 : 321,345.12 = 95,832.80 : x
  2. Step 2: Convert to fraction form
    214,324.64/321,345.12 = 95,832.80/x
  3. Step 3: Cross multiply
    214,324.64x = 321,345.12 × 95,832.80
  4. Step 4: Simplify right side
    214,324.64x = 30,795,402,615.94
  5. Step 5: Solve for x
    x = 30,795,402,615.94/214,324.64
  6. Step 6: Final answer
    x = 143,685.78

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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.