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Finding the Fourth Proportional to 299,541.52, 449,311.44 and 122,006.80

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Solution

The fourth proportional to 299,541.52, 449,311.44 and 122,006.80 is: 183,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,541.52 : 449,311.44 = 122,006.80 : x
  2. Step 2: Convert to fraction form
    299,541.52/449,311.44 = 122,006.80/x
  3. Step 3: Cross multiply
    299,541.52x = 449,311.44 × 122,006.80
  4. Step 4: Simplify right side
    299,541.52x = 54,819,050,997.79
  5. Step 5: Solve for x
    x = 54,819,050,997.79/299,541.52
  6. Step 6: Final answer
    x = 183,009.86

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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.