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Finding the Fourth Proportional to 150,940.40, 208,302.74 and 82,959.80

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Solution

The fourth proportional to 150,940.40, 208,302.74 and 82,959.80 is: 114,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,940.40 : 208,302.74 = 82,959.80 : x
  2. Step 2: Convert to fraction form
    150,940.40/208,302.74 = 82,959.80/x
  3. Step 3: Cross multiply
    150,940.40x = 208,302.74 × 82,959.80
  4. Step 4: Simplify right side
    150,940.40x = 17,280,752,504.64
  5. Step 5: Solve for x
    x = 17,280,752,504.64/150,940.40
  6. Step 6: Final answer
    x = 114,487.26

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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.