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Finding the Fourth Proportional to 223,393.66, 308,286.37 and 121,419.09

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Solution

The fourth proportional to 223,393.66, 308,286.37 and 121,419.09 is: 167,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,393.66 : 308,286.37 = 121,419.09 : x
  2. Step 2: Convert to fraction form
    223,393.66/308,286.37 = 121,419.09/x
  3. Step 3: Cross multiply
    223,393.66x = 308,286.37 × 121,419.09
  4. Step 4: Simplify right side
    223,393.66x = 37,431,848,356.28
  5. Step 5: Solve for x
    x = 37,431,848,356.28/223,393.66
  6. Step 6: Final answer
    x = 167,560.03

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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.