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Finding the Fourth Proportional to 214,265.72, 321,268.94 and 95,915

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Solution

The fourth proportional to 214,265.72, 321,268.94 and 95,915 is: 143,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,265.72 : 321,268.94 = 95,915 : x
  2. Step 2: Convert to fraction form
    214,265.72/321,268.94 = 95,915/x
  3. Step 3: Cross multiply
    214,265.72x = 321,268.94 × 95,915
  4. Step 4: Simplify right side
    214,265.72x = 30,814,510,380.10
  5. Step 5: Solve for x
    x = 30,814,510,380.10/214,265.72
  6. Step 6: Final answer
    x = 143,814.47

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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.