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Finding the Fourth Proportional to 214,771.39, 296,385.21 and 119,278.09

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Solution

The fourth proportional to 214,771.39, 296,385.21 and 119,278.09 is: 164,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,771.39 : 296,385.21 = 119,278.09 : x
  2. Step 2: Convert to fraction form
    214,771.39/296,385.21 = 119,278.09/x
  3. Step 3: Cross multiply
    214,771.39x = 296,385.21 × 119,278.09
  4. Step 4: Simplify right side
    214,771.39x = 35,352,261,012.09
  5. Step 5: Solve for x
    x = 35,352,261,012.09/214,771.39
  6. Step 6: Final answer
    x = 164,604.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.