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Finding the Fourth Proportional to 110,450.70, 165,724.65 and 51,255.90

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Solution

The fourth proportional to 110,450.70, 165,724.65 and 51,255.90 is: 76,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,450.70 : 165,724.65 = 51,255.90 : x
  2. Step 2: Convert to fraction form
    110,450.70/165,724.65 = 51,255.90/x
  3. Step 3: Cross multiply
    110,450.70x = 165,724.65 × 51,255.90
  4. Step 4: Simplify right side
    110,450.70x = 8,494,366,087.94
  5. Step 5: Solve for x
    x = 8,494,366,087.94/110,450.70
  6. Step 6: Final answer
    x = 76,906.40

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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.