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Finding the Fourth Proportional to 259,903.46, 389,903.80 and 82,362.80

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Solution

The fourth proportional to 259,903.46, 389,903.80 and 82,362.80 is: 123,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.46 : 389,903.80 = 82,362.80 : x
  2. Step 2: Convert to fraction form
    259,903.46/389,903.80 = 82,362.80/x
  3. Step 3: Cross multiply
    259,903.46x = 389,903.80 × 82,362.80
  4. Step 4: Simplify right side
    259,903.46x = 32,113,568,698.64
  5. Step 5: Solve for x
    x = 32,113,568,698.64/259,903.46
  6. Step 6: Final answer
    x = 123,559.60

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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.