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Finding the Fourth Proportional to 223,353, 308,227.14 and 122,751

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Solution

The fourth proportional to 223,353, 308,227.14 and 122,751 is: 169,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,353 : 308,227.14 = 122,751 : x
  2. Step 2: Convert to fraction form
    223,353/308,227.14 = 122,751/x
  3. Step 3: Cross multiply
    223,353x = 308,227.14 × 122,751
  4. Step 4: Simplify right side
    223,353x = 37,835,189,662.14
  5. Step 5: Solve for x
    x = 37,835,189,662.14/223,353
  6. Step 6: Final answer
    x = 169,396.38

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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.