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Finding the Fourth Proportional to 129,788, 194,703.06 and 50,859.44

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Solution

The fourth proportional to 129,788, 194,703.06 and 50,859.44 is: 76,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,788 : 194,703.06 = 50,859.44 : x
  2. Step 2: Convert to fraction form
    129,788/194,703.06 = 50,859.44/x
  3. Step 3: Cross multiply
    129,788x = 194,703.06 × 50,859.44
  4. Step 4: Simplify right side
    129,788x = 9,902,488,597.89
  5. Step 5: Solve for x
    x = 9,902,488,597.89/129,788
  6. Step 6: Final answer
    x = 76,297.41

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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.