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Finding the Fourth Proportional to 217,231.20, 325,846.80 and 175,759.20

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Solution

The fourth proportional to 217,231.20, 325,846.80 and 175,759.20 is: 263,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,231.20 : 325,846.80 = 175,759.20 : x
  2. Step 2: Convert to fraction form
    217,231.20/325,846.80 = 175,759.20/x
  3. Step 3: Cross multiply
    217,231.20x = 325,846.80 × 175,759.20
  4. Step 4: Simplify right side
    217,231.20x = 57,270,572,890.56
  5. Step 5: Solve for x
    x = 57,270,572,890.56/217,231.20
  6. Step 6: Final answer
    x = 263,638.80

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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.