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Finding the Fourth Proportional to 230,858.36, 318,589.89 and 144,820.96

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Solution

The fourth proportional to 230,858.36, 318,589.89 and 144,820.96 is: 199,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,858.36 : 318,589.89 = 144,820.96 : x
  2. Step 2: Convert to fraction form
    230,858.36/318,589.89 = 144,820.96/x
  3. Step 3: Cross multiply
    230,858.36x = 318,589.89 × 144,820.96
  4. Step 4: Simplify right side
    230,858.36x = 46,138,494,114.33
  5. Step 5: Solve for x
    x = 46,138,494,114.33/230,858.36
  6. Step 6: Final answer
    x = 199,856.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.