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Finding the Fourth Proportional to 110,684.56, 152,761.80 and 65,367.44

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Solution

The fourth proportional to 110,684.56, 152,761.80 and 65,367.44 is: 90,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,684.56 : 152,761.80 = 65,367.44 : x
  2. Step 2: Convert to fraction form
    110,684.56/152,761.80 = 65,367.44/x
  3. Step 3: Cross multiply
    110,684.56x = 152,761.80 × 65,367.44
  4. Step 4: Simplify right side
    110,684.56x = 9,985,647,795.79
  5. Step 5: Solve for x
    x = 9,985,647,795.79/110,684.56
  6. Step 6: Final answer
    x = 90,217.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.