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Finding the Fourth Proportional to 104,517.38, 144,233.32 and 56,770.31

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Solution

The fourth proportional to 104,517.38, 144,233.32 and 56,770.31 is: 78,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,517.38 : 144,233.32 = 56,770.31 : x
  2. Step 2: Convert to fraction form
    104,517.38/144,233.32 = 56,770.31/x
  3. Step 3: Cross multiply
    104,517.38x = 144,233.32 × 56,770.31
  4. Step 4: Simplify right side
    104,517.38x = 8,188,170,288.73
  5. Step 5: Solve for x
    x = 8,188,170,288.73/104,517.38
  6. Step 6: Final answer
    x = 78,342.67

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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.