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Finding the Fourth Proportional to 262,325, 362,008.50 and 143,093

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Solution

The fourth proportional to 262,325, 362,008.50 and 143,093 is: 197,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,325 : 362,008.50 = 143,093 : x
  2. Step 2: Convert to fraction form
    262,325/362,008.50 = 143,093/x
  3. Step 3: Cross multiply
    262,325x = 362,008.50 × 143,093
  4. Step 4: Simplify right side
    262,325x = 51,800,882,290.50
  5. Step 5: Solve for x
    x = 51,800,882,290.50/262,325
  6. Step 6: Final answer
    x = 197,468.34

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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.