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Finding the Fourth Proportional to 101,865.44, 140,590.96 and 56,558.09

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Solution

The fourth proportional to 101,865.44, 140,590.96 and 56,558.09 is: 78,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,865.44 : 140,590.96 = 56,558.09 : x
  2. Step 2: Convert to fraction form
    101,865.44/140,590.96 = 56,558.09/x
  3. Step 3: Cross multiply
    101,865.44x = 140,590.96 × 56,558.09
  4. Step 4: Simplify right side
    101,865.44x = 7,951,556,378.95
  5. Step 5: Solve for x
    x = 7,951,556,378.95/101,865.44
  6. Step 6: Final answer
    x = 78,059.41

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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.