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Finding the Fourth Proportional to 189,182.25, 283,773.38 and 179,722.26

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Solution

The fourth proportional to 189,182.25, 283,773.38 and 179,722.26 is: 269,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,182.25 : 283,773.38 = 179,722.26 : x
  2. Step 2: Convert to fraction form
    189,182.25/283,773.38 = 179,722.26/x
  3. Step 3: Cross multiply
    189,182.25x = 283,773.38 × 179,722.26
  4. Step 4: Simplify right side
    189,182.25x = 51,000,393,890.87
  5. Step 5: Solve for x
    x = 51,000,393,890.87/189,182.25
  6. Step 6: Final answer
    x = 269,583.39

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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.