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Finding the Fourth Proportional to 204,858.84, 282,704.17 and 118,835.22

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Solution

The fourth proportional to 204,858.84, 282,704.17 and 118,835.22 is: 163,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,858.84 : 282,704.17 = 118,835.22 : x
  2. Step 2: Convert to fraction form
    204,858.84/282,704.17 = 118,835.22/x
  3. Step 3: Cross multiply
    204,858.84x = 282,704.17 × 118,835.22
  4. Step 4: Simplify right side
    204,858.84x = 33,595,212,236.87
  5. Step 5: Solve for x
    x = 33,595,212,236.87/204,858.84
  6. Step 6: Final answer
    x = 163,992.01

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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.