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Finding the Fourth Proportional to 189,378, 283,917.24 and 94,559.44

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Solution

The fourth proportional to 189,378, 283,917.24 and 94,559.44 is: 141,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378 : 283,917.24 = 94,559.44 : x
  2. Step 2: Convert to fraction form
    189,378/283,917.24 = 94,559.44/x
  3. Step 3: Cross multiply
    189,378x = 283,917.24 × 94,559.44
  4. Step 4: Simplify right side
    189,378x = 26,847,055,220.75
  5. Step 5: Solve for x
    x = 26,847,055,220.75/189,378
  6. Step 6: Final answer
    x = 141,764.38

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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.