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Finding the Fourth Proportional to 223,796.10, 308,842.56 and 121,824.49

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Solution

The fourth proportional to 223,796.10, 308,842.56 and 121,824.49 is: 168,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,796.10 : 308,842.56 = 121,824.49 : x
  2. Step 2: Convert to fraction form
    223,796.10/308,842.56 = 121,824.49/x
  3. Step 3: Cross multiply
    223,796.10x = 308,842.56 × 121,824.49
  4. Step 4: Simplify right side
    223,796.10x = 37,624,587,362.29
  5. Step 5: Solve for x
    x = 37,624,587,362.29/223,796.10
  6. Step 6: Final answer
    x = 168,119.94

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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.