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Finding the Fourth Proportional to 148,640.82, 223,023.72 and 92,527.86

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Solution

The fourth proportional to 148,640.82, 223,023.72 and 92,527.86 is: 138,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640.82 : 223,023.72 = 92,527.86 : x
  2. Step 2: Convert to fraction form
    148,640.82/223,023.72 = 92,527.86/x
  3. Step 3: Cross multiply
    148,640.82x = 223,023.72 × 92,527.86
  4. Step 4: Simplify right side
    148,640.82x = 20,635,907,540.84
  5. Step 5: Solve for x
    x = 20,635,907,540.84/148,640.82
  6. Step 6: Final answer
    x = 138,830.69

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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.