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Finding the Fourth Proportional to 214,676.75, 322,015.14 and 66,932.75

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Solution

The fourth proportional to 214,676.75, 322,015.14 and 66,932.75 is: 100,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.75 : 322,015.14 = 66,932.75 : x
  2. Step 2: Convert to fraction form
    214,676.75/322,015.14 = 66,932.75/x
  3. Step 3: Cross multiply
    214,676.75x = 322,015.14 × 66,932.75
  4. Step 4: Simplify right side
    214,676.75x = 21,553,358,861.84
  5. Step 5: Solve for x
    x = 21,553,358,861.84/214,676.75
  6. Step 6: Final answer
    x = 100,399.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.