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Finding the Fourth Proportional to 275,944.33, 413,967.83 and 96,022.27

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Solution

The fourth proportional to 275,944.33, 413,967.83 and 96,022.27 is: 144,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,944.33 : 413,967.83 = 96,022.27 : x
  2. Step 2: Convert to fraction form
    275,944.33/413,967.83 = 96,022.27/x
  3. Step 3: Cross multiply
    275,944.33x = 413,967.83 × 96,022.27
  4. Step 4: Simplify right side
    275,944.33x = 39,750,130,743.57
  5. Step 5: Solve for x
    x = 39,750,130,743.57/275,944.33
  6. Step 6: Final answer
    x = 144,051.27

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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.