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Finding the Fourth Proportional to 128,296, 192,443.52 and 34,801.60

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Solution

The fourth proportional to 128,296, 192,443.52 and 34,801.60 is: 52,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,296 : 192,443.52 = 34,801.60 : x
  2. Step 2: Convert to fraction form
    128,296/192,443.52 = 34,801.60/x
  3. Step 3: Cross multiply
    128,296x = 192,443.52 × 34,801.60
  4. Step 4: Simplify right side
    128,296x = 6,697,342,405.63
  5. Step 5: Solve for x
    x = 6,697,342,405.63/128,296
  6. Step 6: Final answer
    x = 52,202.27

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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.