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Finding the Fourth Proportional to 259,273, 357,796.98 and 140,041

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Solution

The fourth proportional to 259,273, 357,796.98 and 140,041 is: 193,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,273 : 357,796.98 = 140,041 : x
  2. Step 2: Convert to fraction form
    259,273/357,796.98 = 140,041/x
  3. Step 3: Cross multiply
    259,273x = 357,796.98 × 140,041
  4. Step 4: Simplify right side
    259,273x = 50,106,246,876.18
  5. Step 5: Solve for x
    x = 50,106,246,876.18/259,273
  6. Step 6: Final answer
    x = 193,256.71

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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.