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Finding the Fourth Proportional to 223,716.44, 308,735.16 and 121,748.48

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Solution

The fourth proportional to 223,716.44, 308,735.16 and 121,748.48 is: 168,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,716.44 : 308,735.16 = 121,748.48 : x
  2. Step 2: Convert to fraction form
    223,716.44/308,735.16 = 121,748.48/x
  3. Step 3: Cross multiply
    223,716.44x = 308,735.16 × 121,748.48
  4. Step 4: Simplify right side
    223,716.44x = 37,588,034,908.88
  5. Step 5: Solve for x
    x = 37,588,034,908.88/223,716.44
  6. Step 6: Final answer
    x = 168,016.42

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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.