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Finding the Fourth Proportional to 299,362.96, 449,043.63 and 121,827.97

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Solution

The fourth proportional to 299,362.96, 449,043.63 and 121,827.97 is: 182,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,362.96 : 449,043.63 = 121,827.97 : x
  2. Step 2: Convert to fraction form
    299,362.96/449,043.63 = 121,827.97/x
  3. Step 3: Cross multiply
    299,362.96x = 449,043.63 × 121,827.97
  4. Step 4: Simplify right side
    299,362.96x = 54,706,073,884.33
  5. Step 5: Solve for x
    x = 54,706,073,884.33/299,362.96
  6. Step 6: Final answer
    x = 182,741.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.