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Finding the Fourth Proportional to 110,126.98, 165,168.60 and 53,942.95

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Solution

The fourth proportional to 110,126.98, 165,168.60 and 53,942.95 is: 80,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,126.98 : 165,168.60 = 53,942.95 : x
  2. Step 2: Convert to fraction form
    110,126.98/165,168.60 = 53,942.95/x
  3. Step 3: Cross multiply
    110,126.98x = 165,168.60 × 53,942.95
  4. Step 4: Simplify right side
    110,126.98x = 8,909,681,531.37
  5. Step 5: Solve for x
    x = 8,909,681,531.37/110,126.98
  6. Step 6: Final answer
    x = 80,903.71

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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.