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Finding the Fourth Proportional to 411,112.40, 616,735.08 and 126,736.41

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Solution

The fourth proportional to 411,112.40, 616,735.08 and 126,736.41 is: 190,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,112.40 : 616,735.08 = 126,736.41 : x
  2. Step 2: Convert to fraction form
    411,112.40/616,735.08 = 126,736.41/x
  3. Step 3: Cross multiply
    411,112.40x = 616,735.08 × 126,736.41
  4. Step 4: Simplify right side
    411,112.40x = 78,162,789,960.26
  5. Step 5: Solve for x
    x = 78,162,789,960.26/411,112.40
  6. Step 6: Final answer
    x = 190,125.11

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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.