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Finding the Fourth Proportional to 275,788.10, 413,299.42 and 125,661.50

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Solution

The fourth proportional to 275,788.10, 413,299.42 and 125,661.50 is: 188,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,788.10 : 413,299.42 = 125,661.50 : x
  2. Step 2: Convert to fraction form
    275,788.10/413,299.42 = 125,661.50/x
  3. Step 3: Cross multiply
    275,788.10x = 413,299.42 × 125,661.50
  4. Step 4: Simplify right side
    275,788.10x = 51,935,825,066.33
  5. Step 5: Solve for x
    x = 51,935,825,066.33/275,788.10
  6. Step 6: Final answer
    x = 188,317.86

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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.