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Finding the Fourth Proportional to 129,193.99, 178,297.20 and 71,843.63

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Solution

The fourth proportional to 129,193.99, 178,297.20 and 71,843.63 is: 99,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,193.99 : 178,297.20 = 71,843.63 : x
  2. Step 2: Convert to fraction form
    129,193.99/178,297.20 = 71,843.63/x
  3. Step 3: Cross multiply
    129,193.99x = 178,297.20 × 71,843.63
  4. Step 4: Simplify right side
    129,193.99x = 12,809,517,175.35
  5. Step 5: Solve for x
    x = 12,809,517,175.35/129,193.99
  6. Step 6: Final answer
    x = 99,149.48

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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.