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Finding the Fourth Proportional to 214,676.82, 296,259.66 and 119,187.54

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Solution

The fourth proportional to 214,676.82, 296,259.66 and 119,187.54 is: 164,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.82 : 296,259.66 = 119,187.54 : x
  2. Step 2: Convert to fraction form
    214,676.82/296,259.66 = 119,187.54/x
  3. Step 3: Cross multiply
    214,676.82x = 296,259.66 × 119,187.54
  4. Step 4: Simplify right side
    214,676.82x = 35,310,460,076.64
  5. Step 5: Solve for x
    x = 35,310,460,076.64/214,676.82
  6. Step 6: Final answer
    x = 164,481.94

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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.