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Finding the Fourth Proportional to 164,212.68, 226,616.02 and 96,213.38

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Solution

The fourth proportional to 164,212.68, 226,616.02 and 96,213.38 is: 132,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,212.68 : 226,616.02 = 96,213.38 : x
  2. Step 2: Convert to fraction form
    164,212.68/226,616.02 = 96,213.38/x
  3. Step 3: Cross multiply
    164,212.68x = 226,616.02 × 96,213.38
  4. Step 4: Simplify right side
    164,212.68x = 21,803,493,246.35
  5. Step 5: Solve for x
    x = 21,803,493,246.35/164,212.68
  6. Step 6: Final answer
    x = 132,775.94

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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.