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Finding the Fourth Proportional to 209,010.72, 288,238.32 and 161,188.32

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Solution

The fourth proportional to 209,010.72, 288,238.32 and 161,188.32 is: 222,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,010.72 : 288,238.32 = 161,188.32 : x
  2. Step 2: Convert to fraction form
    209,010.72/288,238.32 = 161,188.32/x
  3. Step 3: Cross multiply
    209,010.72x = 288,238.32 × 161,188.32
  4. Step 4: Simplify right side
    209,010.72x = 46,460,650,560.42
  5. Step 5: Solve for x
    x = 46,460,650,560.42/209,010.72
  6. Step 6: Final answer
    x = 222,288.36

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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.