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Finding the Fourth Proportional to 192,243.36, 288,183.60 and 92,460

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Solution

The fourth proportional to 192,243.36, 288,183.60 and 92,460 is: 138,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,243.36 : 288,183.60 = 92,460 : x
  2. Step 2: Convert to fraction form
    192,243.36/288,183.60 = 92,460/x
  3. Step 3: Cross multiply
    192,243.36x = 288,183.60 × 92,460
  4. Step 4: Simplify right side
    192,243.36x = 26,645,455,656.00
  5. Step 5: Solve for x
    x = 26,645,455,656.00/192,243.36
  6. Step 6: Final answer
    x = 138,602.74

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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.