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Finding the Fourth Proportional to 205,163.48, 283,172.84 and 120,307.88

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Solution

The fourth proportional to 205,163.48, 283,172.84 and 120,307.88 is: 166,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,163.48 : 283,172.84 = 120,307.88 : x
  2. Step 2: Convert to fraction form
    205,163.48/283,172.84 = 120,307.88/x
  3. Step 3: Cross multiply
    205,163.48x = 283,172.84 × 120,307.88
  4. Step 4: Simplify right side
    205,163.48x = 34,067,924,611.53
  5. Step 5: Solve for x
    x = 34,067,924,611.53/205,163.48
  6. Step 6: Final answer
    x = 166,052.58

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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.