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Finding the Fourth Proportional to 193,741.22, 290,611.42 and 53,499.44

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Solution

The fourth proportional to 193,741.22, 290,611.42 and 53,499.44 is: 80,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,741.22 : 290,611.42 = 53,499.44 : x
  2. Step 2: Convert to fraction form
    193,741.22/290,611.42 = 53,499.44/x
  3. Step 3: Cross multiply
    193,741.22x = 290,611.42 × 53,499.44
  4. Step 4: Simplify right side
    193,741.22x = 15,547,548,227.60
  5. Step 5: Solve for x
    x = 15,547,548,227.60/193,741.22
  6. Step 6: Final answer
    x = 80,249.05

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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.