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Finding the Fourth Proportional to 273,692.80, 410,961.60 and 149,276.80

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Solution

The fourth proportional to 273,692.80, 410,961.60 and 149,276.80 is: 224,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,692.80 : 410,961.60 = 149,276.80 : x
  2. Step 2: Convert to fraction form
    273,692.80/410,961.60 = 149,276.80/x
  3. Step 3: Cross multiply
    273,692.80x = 410,961.60 × 149,276.80
  4. Step 4: Simplify right side
    273,692.80x = 61,347,032,570.88
  5. Step 5: Solve for x
    x = 61,347,032,570.88/273,692.80
  6. Step 6: Final answer
    x = 224,145.58

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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.