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Finding the Fourth Proportional to 218,205.20, 327,407.16 and 105,824.72

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Solution

The fourth proportional to 218,205.20, 327,407.16 and 105,824.72 is: 158,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,205.20 : 327,407.16 = 105,824.72 : x
  2. Step 2: Convert to fraction form
    218,205.20/327,407.16 = 105,824.72/x
  3. Step 3: Cross multiply
    218,205.20x = 327,407.16 × 105,824.72
  4. Step 4: Simplify right side
    218,205.20x = 34,647,771,033.00
  5. Step 5: Solve for x
    x = 34,647,771,033.00/218,205.20
  6. Step 6: Final answer
    x = 158,785.27

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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.