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Finding the Fourth Proportional to 259,204.43, 357,709.70 and 151,764.41

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Solution

The fourth proportional to 259,204.43, 357,709.70 and 151,764.41 is: 209,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,204.43 : 357,709.70 = 151,764.41 : x
  2. Step 2: Convert to fraction form
    259,204.43/357,709.70 = 151,764.41/x
  3. Step 3: Cross multiply
    259,204.43x = 357,709.70 × 151,764.41
  4. Step 4: Simplify right side
    259,204.43x = 54,287,601,571.78
  5. Step 5: Solve for x
    x = 54,287,601,571.78/259,204.43
  6. Step 6: Final answer
    x = 209,439.33

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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.