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Finding the Fourth Proportional to 194,934, 292,406.94 and 54,692.76

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Solution

The fourth proportional to 194,934, 292,406.94 and 54,692.76 is: 82,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,934 : 292,406.94 = 54,692.76 : x
  2. Step 2: Convert to fraction form
    194,934/292,406.94 = 54,692.76/x
  3. Step 3: Cross multiply
    194,934x = 292,406.94 × 54,692.76
  4. Step 4: Simplify right side
    194,934x = 15,992,542,591.75
  5. Step 5: Solve for x
    x = 15,992,542,591.75/194,934
  6. Step 6: Final answer
    x = 82,040.81

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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.