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Finding the Fourth Proportional to 299,576.76, 449,365.14 and 122,052.51

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Solution

The fourth proportional to 299,576.76, 449,365.14 and 122,052.51 is: 183,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.76 : 449,365.14 = 122,052.51 : x
  2. Step 2: Convert to fraction form
    299,576.76/449,365.14 = 122,052.51/x
  3. Step 3: Cross multiply
    299,576.76x = 449,365.14 × 122,052.51
  4. Step 4: Simplify right side
    299,576.76x = 54,846,143,243.50
  5. Step 5: Solve for x
    x = 54,846,143,243.50/299,576.76
  6. Step 6: Final answer
    x = 183,078.77

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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.