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Finding the Fourth Proportional to 214,809.26, 296,436.66 and 119,324.84

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Solution

The fourth proportional to 214,809.26, 296,436.66 and 119,324.84 is: 164,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,809.26 : 296,436.66 = 119,324.84 : x
  2. Step 2: Convert to fraction form
    214,809.26/296,436.66 = 119,324.84/x
  3. Step 3: Cross multiply
    214,809.26x = 296,436.66 × 119,324.84
  4. Step 4: Simplify right side
    214,809.26x = 35,372,257,024.63
  5. Step 5: Solve for x
    x = 35,372,257,024.63/214,809.26
  6. Step 6: Final answer
    x = 164,668.21

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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.