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Finding the Fourth Proportional to 273,467, 410,200.50 and 73,787.38

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Solution

The fourth proportional to 273,467, 410,200.50 and 73,787.38 is: 110,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,467 : 410,200.50 = 73,787.38 : x
  2. Step 2: Convert to fraction form
    273,467/410,200.50 = 73,787.38/x
  3. Step 3: Cross multiply
    273,467x = 410,200.50 × 73,787.38
  4. Step 4: Simplify right side
    273,467x = 30,267,620,169.69
  5. Step 5: Solve for x
    x = 30,267,620,169.69/273,467
  6. Step 6: Final answer
    x = 110,681.07

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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.