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Finding the Fourth Proportional to 230,022.46, 317,464.92 and 138,147.94

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Solution

The fourth proportional to 230,022.46, 317,464.92 and 138,147.94 is: 190,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,022.46 : 317,464.92 = 138,147.94 : x
  2. Step 2: Convert to fraction form
    230,022.46/317,464.92 = 138,147.94/x
  3. Step 3: Cross multiply
    230,022.46x = 317,464.92 × 138,147.94
  4. Step 4: Simplify right side
    230,022.46x = 43,857,124,720.26
  5. Step 5: Solve for x
    x = 43,857,124,720.26/230,022.46
  6. Step 6: Final answer
    x = 190,664.53

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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.