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Finding the Fourth Proportional to 218,103.64, 327,021.50 and 84,828.57

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Solution

The fourth proportional to 218,103.64, 327,021.50 and 84,828.57 is: 127,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,103.64 : 327,021.50 = 84,828.57 : x
  2. Step 2: Convert to fraction form
    218,103.64/327,021.50 = 84,828.57/x
  3. Step 3: Cross multiply
    218,103.64x = 327,021.50 × 84,828.57
  4. Step 4: Simplify right side
    218,103.64x = 27,740,765,190.00
  5. Step 5: Solve for x
    x = 27,740,765,190.00/218,103.64
  6. Step 6: Final answer
    x = 127,190.75

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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.