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Finding the Fourth Proportional to 214,786.38, 296,405.21 and 119,301.96

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Solution

The fourth proportional to 214,786.38, 296,405.21 and 119,301.96 is: 164,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,786.38 : 296,405.21 = 119,301.96 : x
  2. Step 2: Convert to fraction form
    214,786.38/296,405.21 = 119,301.96/x
  3. Step 3: Cross multiply
    214,786.38x = 296,405.21 × 119,301.96
  4. Step 4: Simplify right side
    214,786.38x = 35,361,720,428.68
  5. Step 5: Solve for x
    x = 35,361,720,428.68/214,786.38
  6. Step 6: Final answer
    x = 164,636.70

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Why These Related Problems?

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