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Finding the Fourth Proportional to 201,040.74, 301,563.45 and 51,280.74

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Solution

The fourth proportional to 201,040.74, 301,563.45 and 51,280.74 is: 76,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,040.74 : 301,563.45 = 51,280.74 : x
  2. Step 2: Convert to fraction form
    201,040.74/301,563.45 = 51,280.74/x
  3. Step 3: Cross multiply
    201,040.74x = 301,563.45 × 51,280.74
  4. Step 4: Simplify right side
    201,040.74x = 15,464,396,872.95
  5. Step 5: Solve for x
    x = 15,464,396,872.95/201,040.74
  6. Step 6: Final answer
    x = 76,921.71

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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.