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Finding the Fourth Proportional to 225,589.26, 338,385.81 and 180,498.89

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Solution

The fourth proportional to 225,589.26, 338,385.81 and 180,498.89 is: 270,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,589.26 : 338,385.81 = 180,498.89 : x
  2. Step 2: Convert to fraction form
    225,589.26/338,385.81 = 180,498.89/x
  3. Step 3: Cross multiply
    225,589.26x = 338,385.81 × 180,498.89
  4. Step 4: Simplify right side
    225,589.26x = 61,078,261,404.82
  5. Step 5: Solve for x
    x = 61,078,261,404.82/225,589.26
  6. Step 6: Final answer
    x = 270,749.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.