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Finding the Fourth Proportional to 173,069.92, 259,619.46 and 54,738.64

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Solution

The fourth proportional to 173,069.92, 259,619.46 and 54,738.64 is: 82,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,069.92 : 259,619.46 = 54,738.64 : x
  2. Step 2: Convert to fraction form
    173,069.92/259,619.46 = 54,738.64/x
  3. Step 3: Cross multiply
    173,069.92x = 259,619.46 × 54,738.64
  4. Step 4: Simplify right side
    173,069.92x = 14,211,216,157.93
  5. Step 5: Solve for x
    x = 14,211,216,157.93/173,069.92
  6. Step 6: Final answer
    x = 82,112.57

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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.