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Finding the Fourth Proportional to 214,816.26, 296,446.29 and 119,331.84

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Solution

The fourth proportional to 214,816.26, 296,446.29 and 119,331.84 is: 164,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,816.26 : 296,446.29 = 119,331.84 : x
  2. Step 2: Convert to fraction form
    214,816.26/296,446.29 = 119,331.84/x
  3. Step 3: Cross multiply
    214,816.26x = 296,446.29 × 119,331.84
  4. Step 4: Simplify right side
    214,816.26x = 35,375,481,246.87
  5. Step 5: Solve for x
    x = 35,375,481,246.87/214,816.26
  6. Step 6: Final answer
    x = 164,677.86

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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.