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Finding the Fourth Proportional to 273,633, 410,449.50 and 73,938.06

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Solution

The fourth proportional to 273,633, 410,449.50 and 73,938.06 is: 110,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,633 : 410,449.50 = 73,938.06 : x
  2. Step 2: Convert to fraction form
    273,633/410,449.50 = 73,938.06/x
  3. Step 3: Cross multiply
    273,633x = 410,449.50 × 73,938.06
  4. Step 4: Simplify right side
    273,633x = 30,347,839,757.97
  5. Step 5: Solve for x
    x = 30,347,839,757.97/273,633
  6. Step 6: Final answer
    x = 110,907.09

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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.