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Finding the Fourth Proportional to 214,451.50, 321,677.25 and 146,916.94

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Solution

The fourth proportional to 214,451.50, 321,677.25 and 146,916.94 is: 220,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,451.50 : 321,677.25 = 146,916.94 : x
  2. Step 2: Convert to fraction form
    214,451.50/321,677.25 = 146,916.94/x
  3. Step 3: Cross multiply
    214,451.50x = 321,677.25 × 146,916.94
  4. Step 4: Simplify right side
    214,451.50x = 47,259,837,237.62
  5. Step 5: Solve for x
    x = 47,259,837,237.62/214,451.50
  6. Step 6: Final answer
    x = 220,375.41

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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.