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Finding the Fourth Proportional to 100,175.06, 138,245.30 and 57,161.55

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Solution

The fourth proportional to 100,175.06, 138,245.30 and 57,161.55 is: 78,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.06 : 138,245.30 = 57,161.55 : x
  2. Step 2: Convert to fraction form
    100,175.06/138,245.30 = 57,161.55/x
  3. Step 3: Cross multiply
    100,175.06x = 138,245.30 × 57,161.55
  4. Step 4: Simplify right side
    100,175.06x = 7,902,315,628.22
  5. Step 5: Solve for x
    x = 7,902,315,628.22/100,175.06
  6. Step 6: Final answer
    x = 78,885.06

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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.