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Finding the Fourth Proportional to 329,615.25, 494,129.66 and 119,206.41

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Solution

The fourth proportional to 329,615.25, 494,129.66 and 119,206.41 is: 178,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,615.25 : 494,129.66 = 119,206.41 : x
  2. Step 2: Convert to fraction form
    329,615.25/494,129.66 = 119,206.41/x
  3. Step 3: Cross multiply
    329,615.25x = 494,129.66 × 119,206.41
  4. Step 4: Simplify right side
    329,615.25x = 58,903,422,247.09
  5. Step 5: Solve for x
    x = 58,903,422,247.09/329,615.25
  6. Step 6: Final answer
    x = 178,703.57

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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.