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Finding the Fourth Proportional to 259,269, 357,791.46 and 140,037

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Solution

The fourth proportional to 259,269, 357,791.46 and 140,037 is: 193,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,269 : 357,791.46 = 140,037 : x
  2. Step 2: Convert to fraction form
    259,269/357,791.46 = 140,037/x
  3. Step 3: Cross multiply
    259,269x = 357,791.46 × 140,037
  4. Step 4: Simplify right side
    259,269x = 50,104,042,684.02
  5. Step 5: Solve for x
    x = 50,104,042,684.02/259,269
  6. Step 6: Final answer
    x = 193,251.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.