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Finding the Fourth Proportional to 164,676.32, 227,169.84 and 104,144.96

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Solution

The fourth proportional to 164,676.32, 227,169.84 and 104,144.96 is: 143,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676.32 : 227,169.84 = 104,144.96 : x
  2. Step 2: Convert to fraction form
    164,676.32/227,169.84 = 104,144.96/x
  3. Step 3: Cross multiply
    164,676.32x = 227,169.84 × 104,144.96
  4. Step 4: Simplify right side
    164,676.32x = 23,658,593,900.01
  5. Step 5: Solve for x
    x = 23,658,593,900.01/164,676.32
  6. Step 6: Final answer
    x = 143,667.25

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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.