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Finding the Fourth Proportional to 175,896.64, 263,819.46 and 57,572.68

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Solution

The fourth proportional to 175,896.64, 263,819.46 and 57,572.68 is: 86,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,896.64 : 263,819.46 = 57,572.68 : x
  2. Step 2: Convert to fraction form
    175,896.64/263,819.46 = 57,572.68/x
  3. Step 3: Cross multiply
    175,896.64x = 263,819.46 × 57,572.68
  4. Step 4: Simplify right side
    175,896.64x = 15,188,793,348.35
  5. Step 5: Solve for x
    x = 15,188,793,348.35/175,896.64
  6. Step 6: Final answer
    x = 86,350.67

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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.