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Finding the Fourth Proportional to 164,476.44, 226,979.37 and 96,494.63

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Solution

The fourth proportional to 164,476.44, 226,979.37 and 96,494.63 is: 133,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476.44 : 226,979.37 = 96,494.63 : x
  2. Step 2: Convert to fraction form
    164,476.44/226,979.37 = 96,494.63/x
  3. Step 3: Cross multiply
    164,476.44x = 226,979.37 × 96,494.63
  4. Step 4: Simplify right side
    164,476.44x = 21,902,289,190.89
  5. Step 5: Solve for x
    x = 21,902,289,190.89/164,476.44
  6. Step 6: Final answer
    x = 133,163.69

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1.5x scale

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.