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Finding the Fourth Proportional to 131,020.72, 180,815 and 73,678.09

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Solution

The fourth proportional to 131,020.72, 180,815 and 73,678.09 is: 101,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,020.72 : 180,815 = 73,678.09 : x
  2. Step 2: Convert to fraction form
    131,020.72/180,815 = 73,678.09/x
  3. Step 3: Cross multiply
    131,020.72x = 180,815 × 73,678.09
  4. Step 4: Simplify right side
    131,020.72x = 13,322,103,843.35
  5. Step 5: Solve for x
    x = 13,322,103,843.35/131,020.72
  6. Step 6: Final answer
    x = 101,679.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.