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Finding the Fourth Proportional to 275,362.27, 413,037.33 and 113,222.14

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Solution

The fourth proportional to 275,362.27, 413,037.33 and 113,222.14 is: 169,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,362.27 : 413,037.33 = 113,222.14 : x
  2. Step 2: Convert to fraction form
    275,362.27/413,037.33 = 113,222.14/x
  3. Step 3: Cross multiply
    275,362.27x = 413,037.33 × 113,222.14
  4. Step 4: Simplify right side
    275,362.27x = 46,764,970,402.49
  5. Step 5: Solve for x
    x = 46,764,970,402.49/275,362.27
  6. Step 6: Final answer
    x = 169,830.71

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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.