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Finding the Fourth Proportional to 135,190.25, 202,770.77 and 45,222.77

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Solution

The fourth proportional to 135,190.25, 202,770.77 and 45,222.77 is: 67,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,190.25 : 202,770.77 = 45,222.77 : x
  2. Step 2: Convert to fraction form
    135,190.25/202,770.77 = 45,222.77/x
  3. Step 3: Cross multiply
    135,190.25x = 202,770.77 × 45,222.77
  4. Step 4: Simplify right side
    135,190.25x = 9,169,854,880.58
  5. Step 5: Solve for x
    x = 9,169,854,880.58/135,190.25
  6. Step 6: Final answer
    x = 67,829.26

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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.