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Finding the Fourth Proportional to 210,839.46, 290,958.16 and 115,346.16

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Solution

The fourth proportional to 210,839.46, 290,958.16 and 115,346.16 is: 159,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,839.46 : 290,958.16 = 115,346.16 : x
  2. Step 2: Convert to fraction form
    210,839.46/290,958.16 = 115,346.16/x
  3. Step 3: Cross multiply
    210,839.46x = 290,958.16 × 115,346.16
  4. Step 4: Simplify right side
    210,839.46x = 33,560,906,188.30
  5. Step 5: Solve for x
    x = 33,560,906,188.30/210,839.46
  6. Step 6: Final answer
    x = 159,177.54

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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.