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Finding the Fourth Proportional to 223,693.56, 308,697 and 123,091.56

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Solution

The fourth proportional to 223,693.56, 308,697 and 123,091.56 is: 169,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,693.56 : 308,697 = 123,091.56 : x
  2. Step 2: Convert to fraction form
    223,693.56/308,697 = 123,091.56/x
  3. Step 3: Cross multiply
    223,693.56x = 308,697 × 123,091.56
  4. Step 4: Simplify right side
    223,693.56x = 37,997,995,297.32
  5. Step 5: Solve for x
    x = 37,997,995,297.32/223,693.56
  6. Step 6: Final answer
    x = 169,866.29

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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.