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Finding the Fourth Proportional to 217,286.10, 325,819.80 and 128,566.80

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Solution

The fourth proportional to 217,286.10, 325,819.80 and 128,566.80 is: 192,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,286.10 : 325,819.80 = 128,566.80 : x
  2. Step 2: Convert to fraction form
    217,286.10/325,819.80 = 128,566.80/x
  3. Step 3: Cross multiply
    217,286.10x = 325,819.80 × 128,566.80
  4. Step 4: Simplify right side
    217,286.10x = 41,889,609,062.64
  5. Step 5: Solve for x
    x = 41,889,609,062.64/217,286.10
  6. Step 6: Final answer
    x = 192,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.