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Finding the Fourth Proportional to 123,951.36, 185,893.83 and 53,814

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Solution

The fourth proportional to 123,951.36, 185,893.83 and 53,814 is: 80,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,951.36 : 185,893.83 = 53,814 : x
  2. Step 2: Convert to fraction form
    123,951.36/185,893.83 = 53,814/x
  3. Step 3: Cross multiply
    123,951.36x = 185,893.83 × 53,814
  4. Step 4: Simplify right side
    123,951.36x = 10,003,690,567.62
  5. Step 5: Solve for x
    x = 10,003,690,567.62/123,951.36
  6. Step 6: Final answer
    x = 80,706.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.