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Finding the Fourth Proportional to 214,328.64, 321,351.12 and 95,836.80

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Solution

The fourth proportional to 214,328.64, 321,351.12 and 95,836.80 is: 143,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,328.64 : 321,351.12 = 95,836.80 : x
  2. Step 2: Convert to fraction form
    214,328.64/321,351.12 = 95,836.80/x
  3. Step 3: Cross multiply
    214,328.64x = 321,351.12 × 95,836.80
  4. Step 4: Simplify right side
    214,328.64x = 30,797,263,017.22
  5. Step 5: Solve for x
    x = 30,797,263,017.22/214,328.64
  6. Step 6: Final answer
    x = 143,691.78

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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.