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Finding the Fourth Proportional to 222,466.53, 307,002.27 and 120,489.67

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Solution

The fourth proportional to 222,466.53, 307,002.27 and 120,489.67 is: 166,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,466.53 : 307,002.27 = 120,489.67 : x
  2. Step 2: Convert to fraction form
    222,466.53/307,002.27 = 120,489.67/x
  3. Step 3: Cross multiply
    222,466.53x = 307,002.27 × 120,489.67
  4. Step 4: Simplify right side
    222,466.53x = 36,990,602,201.55
  5. Step 5: Solve for x
    x = 36,990,602,201.55/222,466.53
  6. Step 6: Final answer
    x = 166,274.91

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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.