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Finding the Fourth Proportional to 205,323.36, 283,266.72 and 120,409.44

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Solution

The fourth proportional to 205,323.36, 283,266.72 and 120,409.44 is: 166,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.36 : 283,266.72 = 120,409.44 : x
  2. Step 2: Convert to fraction form
    205,323.36/283,266.72 = 120,409.44/x
  3. Step 3: Cross multiply
    205,323.36x = 283,266.72 × 120,409.44
  4. Step 4: Simplify right side
    205,323.36x = 34,107,987,125.84
  5. Step 5: Solve for x
    x = 34,107,987,125.84/205,323.36
  6. Step 6: Final answer
    x = 166,118.40

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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.