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Finding the Fourth Proportional to 269,232.80, 403,845.60 and 82,245.20

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Solution

The fourth proportional to 269,232.80, 403,845.60 and 82,245.20 is: 123,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,232.80 : 403,845.60 = 82,245.20 : x
  2. Step 2: Convert to fraction form
    269,232.80/403,845.60 = 82,245.20/x
  3. Step 3: Cross multiply
    269,232.80x = 403,845.60 × 82,245.20
  4. Step 4: Simplify right side
    269,232.80x = 33,214,362,141.12
  5. Step 5: Solve for x
    x = 33,214,362,141.12/269,232.80
  6. Step 6: Final answer
    x = 123,366.70

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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.