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Finding the Fourth Proportional to 205,162.66, 283,171.71 and 120,307.06

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Solution

The fourth proportional to 205,162.66, 283,171.71 and 120,307.06 is: 166,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,162.66 : 283,171.71 = 120,307.06 : x
  2. Step 2: Convert to fraction form
    205,162.66/283,171.71 = 120,307.06/x
  3. Step 3: Cross multiply
    205,162.66x = 283,171.71 × 120,307.06
  4. Step 4: Simplify right side
    205,162.66x = 34,067,555,905.27
  5. Step 5: Solve for x
    x = 34,067,555,905.27/205,162.66
  6. Step 6: Final answer
    x = 166,051.44

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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.