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Finding the Fourth Proportional to 253,650.19, 380,491.69 and 85,163.71

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Solution

The fourth proportional to 253,650.19, 380,491.69 and 85,163.71 is: 127,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,650.19 : 380,491.69 = 85,163.71 : x
  2. Step 2: Convert to fraction form
    253,650.19/380,491.69 = 85,163.71/x
  3. Step 3: Cross multiply
    253,650.19x = 380,491.69 × 85,163.71
  4. Step 4: Simplify right side
    253,650.19x = 32,404,083,944.57
  5. Step 5: Solve for x
    x = 32,404,083,944.57/253,650.19
  6. Step 6: Final answer
    x = 127,751.07

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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.