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Finding the Fourth Proportional to 213,986.44, 320,789.31 and 101,597.32

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Solution

The fourth proportional to 213,986.44, 320,789.31 and 101,597.32 is: 152,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986.44 : 320,789.31 = 101,597.32 : x
  2. Step 2: Convert to fraction form
    213,986.44/320,789.31 = 101,597.32/x
  3. Step 3: Cross multiply
    213,986.44x = 320,789.31 × 101,597.32
  4. Step 4: Simplify right side
    213,986.44x = 32,591,334,180.65
  5. Step 5: Solve for x
    x = 32,591,334,180.65/213,986.44
  6. Step 6: Final answer
    x = 152,305.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.