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Finding the Fourth Proportional to 149,181.68, 223,719.22 and 49,323.44

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Solution

The fourth proportional to 149,181.68, 223,719.22 and 49,323.44 is: 73,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,181.68 : 223,719.22 = 49,323.44 : x
  2. Step 2: Convert to fraction form
    149,181.68/223,719.22 = 49,323.44/x
  3. Step 3: Cross multiply
    149,181.68x = 223,719.22 × 49,323.44
  4. Step 4: Simplify right side
    149,181.68x = 11,034,601,524.52
  5. Step 5: Solve for x
    x = 11,034,601,524.52/149,181.68
  6. Step 6: Final answer
    x = 73,967.54

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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.