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Finding the Fourth Proportional to 222,626.44, 307,255.98 and 137,770.84

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Solution

The fourth proportional to 222,626.44, 307,255.98 and 137,770.84 is: 190,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,626.44 : 307,255.98 = 137,770.84 : x
  2. Step 2: Convert to fraction form
    222,626.44/307,255.98 = 137,770.84/x
  3. Step 3: Cross multiply
    222,626.44x = 307,255.98 × 137,770.84
  4. Step 4: Simplify right side
    222,626.44x = 42,330,914,459.62
  5. Step 5: Solve for x
    x = 42,330,914,459.62/222,626.44
  6. Step 6: Final answer
    x = 190,143.25

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1.5x scale

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.