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Finding the Fourth Proportional to 262,773.40, 362,627.64 and 149,596

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Solution

The fourth proportional to 262,773.40, 362,627.64 and 149,596 is: 206,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,773.40 : 362,627.64 = 149,596 : x
  2. Step 2: Convert to fraction form
    262,773.40/362,627.64 = 149,596/x
  3. Step 3: Cross multiply
    262,773.40x = 362,627.64 × 149,596
  4. Step 4: Simplify right side
    262,773.40x = 54,247,644,433.44
  5. Step 5: Solve for x
    x = 54,247,644,433.44/262,773.40
  6. Step 6: Final answer
    x = 206,442.68

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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.