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Finding the Fourth Proportional to 299,576.26, 449,364.39 and 122,052

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Solution

The fourth proportional to 299,576.26, 449,364.39 and 122,052 is: 183,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.26 : 449,364.39 = 122,052 : x
  2. Step 2: Convert to fraction form
    299,576.26/449,364.39 = 122,052/x
  3. Step 3: Cross multiply
    299,576.26x = 449,364.39 × 122,052
  4. Step 4: Simplify right side
    299,576.26x = 54,845,822,528.28
  5. Step 5: Solve for x
    x = 54,845,822,528.28/299,576.26
  6. Step 6: Final answer
    x = 183,078

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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.