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Finding the Fourth Proportional to 214,453.50, 321,680.26 and 146,918.94

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Solution

The fourth proportional to 214,453.50, 321,680.26 and 146,918.94 is: 220,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,453.50 : 321,680.26 = 146,918.94 : x
  2. Step 2: Convert to fraction form
    214,453.50/321,680.26 = 146,918.94/x
  3. Step 3: Cross multiply
    214,453.50x = 321,680.26 × 146,918.94
  4. Step 4: Simplify right side
    214,453.50x = 47,260,922,818.12
  5. Step 5: Solve for x
    x = 47,260,922,818.12/214,453.50
  6. Step 6: Final answer
    x = 220,378.42

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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.