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Finding the Fourth Proportional to 214,264.72, 321,267.44 and 95,914

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Solution

The fourth proportional to 214,264.72, 321,267.44 and 95,914 is: 143,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,264.72 : 321,267.44 = 95,914 : x
  2. Step 2: Convert to fraction form
    214,264.72/321,267.44 = 95,914/x
  3. Step 3: Cross multiply
    214,264.72x = 321,267.44 × 95,914
  4. Step 4: Simplify right side
    214,264.72x = 30,814,045,240.16
  5. Step 5: Solve for x
    x = 30,814,045,240.16/214,264.72
  6. Step 6: Final answer
    x = 143,812.97

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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.