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Finding the Fourth Proportional to 230,833.32, 317,839.44 and 196,765.38

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Solution

The fourth proportional to 230,833.32, 317,839.44 and 196,765.38 is: 270,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,833.32 : 317,839.44 = 196,765.38 : x
  2. Step 2: Convert to fraction form
    230,833.32/317,839.44 = 196,765.38/x
  3. Step 3: Cross multiply
    230,833.32x = 317,839.44 × 196,765.38
  4. Step 4: Simplify right side
    230,833.32x = 62,539,798,190.59
  5. Step 5: Solve for x
    x = 62,539,798,190.59/230,833.32
  6. Step 6: Final answer
    x = 270,930.55

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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.