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Finding the Fourth Proportional to 148,267.44, 222,288 and 48,367.44

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Solution

The fourth proportional to 148,267.44, 222,288 and 48,367.44 is: 72,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,267.44 : 222,288 = 48,367.44 : x
  2. Step 2: Convert to fraction form
    148,267.44/222,288 = 48,367.44/x
  3. Step 3: Cross multiply
    148,267.44x = 222,288 × 48,367.44
  4. Step 4: Simplify right side
    148,267.44x = 10,751,501,502.72
  5. Step 5: Solve for x
    x = 10,751,501,502.72/148,267.44
  6. Step 6: Final answer
    x = 72,514.25

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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.