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Finding the Fourth Proportional to 230,147.52, 317,466.72 and 140,568

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Solution

The fourth proportional to 230,147.52, 317,466.72 and 140,568 is: 193,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,147.52 : 317,466.72 = 140,568 : x
  2. Step 2: Convert to fraction form
    230,147.52/317,466.72 = 140,568/x
  3. Step 3: Cross multiply
    230,147.52x = 317,466.72 × 140,568
  4. Step 4: Simplify right side
    230,147.52x = 44,625,661,896.96
  5. Step 5: Solve for x
    x = 44,625,661,896.96/230,147.52
  6. Step 6: Final answer
    x = 193,900.25

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Why These Related Problems?

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