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Finding the Fourth Proportional to 120,798.24, 181,152 and 41,893.44

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Solution

The fourth proportional to 120,798.24, 181,152 and 41,893.44 is: 62,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798.24 : 181,152 = 41,893.44 : x
  2. Step 2: Convert to fraction form
    120,798.24/181,152 = 41,893.44/x
  3. Step 3: Cross multiply
    120,798.24x = 181,152 × 41,893.44
  4. Step 4: Simplify right side
    120,798.24x = 7,589,080,442.88
  5. Step 5: Solve for x
    x = 7,589,080,442.88/120,798.24
  6. Step 6: Final answer
    x = 62,824.43

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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.