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Finding the Fourth Proportional to 252,556.46, 378,769.17 and 75,023.18

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Solution

The fourth proportional to 252,556.46, 378,769.17 and 75,023.18 is: 112,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,556.46 : 378,769.17 = 75,023.18 : x
  2. Step 2: Convert to fraction form
    252,556.46/378,769.17 = 75,023.18/x
  3. Step 3: Cross multiply
    252,556.46x = 378,769.17 × 75,023.18
  4. Step 4: Simplify right side
    252,556.46x = 28,416,467,619.36
  5. Step 5: Solve for x
    x = 28,416,467,619.36/252,556.46
  6. Step 6: Final answer
    x = 112,515.31

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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.