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Finding the Fourth Proportional to 206,751.44, 285,323.37 and 116,109.35

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Solution

The fourth proportional to 206,751.44, 285,323.37 and 116,109.35 is: 160,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751.44 : 285,323.37 = 116,109.35 : x
  2. Step 2: Convert to fraction form
    206,751.44/285,323.37 = 116,109.35/x
  3. Step 3: Cross multiply
    206,751.44x = 285,323.37 × 116,109.35
  4. Step 4: Simplify right side
    206,751.44x = 33,128,709,643.00
  5. Step 5: Solve for x
    x = 33,128,709,643.00/206,751.44
  6. Step 6: Final answer
    x = 160,234.48

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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.