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Finding the Fourth Proportional to 164,536.43, 227,021.22 and 100,004.54

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Solution

The fourth proportional to 164,536.43, 227,021.22 and 100,004.54 is: 137,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536.43 : 227,021.22 = 100,004.54 : x
  2. Step 2: Convert to fraction form
    164,536.43/227,021.22 = 100,004.54/x
  3. Step 3: Cross multiply
    164,536.43x = 227,021.22 × 100,004.54
  4. Step 4: Simplify right side
    164,536.43x = 22,703,152,676.34
  5. Step 5: Solve for x
    x = 22,703,152,676.34/164,536.43
  6. Step 6: Final answer
    x = 137,982.53

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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.