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Finding the Fourth Proportional to 268,093.95, 402,140.67 and 68,414.34

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Solution

The fourth proportional to 268,093.95, 402,140.67 and 68,414.34 is: 102,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,093.95 : 402,140.67 = 68,414.34 : x
  2. Step 2: Convert to fraction form
    268,093.95/402,140.67 = 68,414.34/x
  3. Step 3: Cross multiply
    268,093.95x = 402,140.67 × 68,414.34
  4. Step 4: Simplify right side
    268,093.95x = 27,512,188,525.21
  5. Step 5: Solve for x
    x = 27,512,188,525.21/268,093.95
  6. Step 6: Final answer
    x = 102,621.44

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Why These Related Problems?

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