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Finding the Fourth Proportional to 222,489.38, 306,950.60 and 164,485.40

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Solution

The fourth proportional to 222,489.38, 306,950.60 and 164,485.40 is: 226,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,489.38 : 306,950.60 = 164,485.40 : x
  2. Step 2: Convert to fraction form
    222,489.38/306,950.60 = 164,485.40/x
  3. Step 3: Cross multiply
    222,489.38x = 306,950.60 × 164,485.40
  4. Step 4: Simplify right side
    222,489.38x = 50,488,892,221.24
  5. Step 5: Solve for x
    x = 50,488,892,221.24/222,489.38
  6. Step 6: Final answer
    x = 226,927.20

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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.