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Finding the Fourth Proportional to 214,715.30, 296,301.42 and 119,219.54

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Solution

The fourth proportional to 214,715.30, 296,301.42 and 119,219.54 is: 164,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,715.30 : 296,301.42 = 119,219.54 : x
  2. Step 2: Convert to fraction form
    214,715.30/296,301.42 = 119,219.54/x
  3. Step 3: Cross multiply
    214,715.30x = 296,301.42 × 119,219.54
  4. Step 4: Simplify right side
    214,715.30x = 35,324,918,993.75
  5. Step 5: Solve for x
    x = 35,324,918,993.75/214,715.30
  6. Step 6: Final answer
    x = 164,519.80

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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.