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Finding the Fourth Proportional to 307,616.33, 461,496.25 and 105,214

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Solution

The fourth proportional to 307,616.33, 461,496.25 and 105,214 is: 157,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,616.33 : 461,496.25 = 105,214 : x
  2. Step 2: Convert to fraction form
    307,616.33/461,496.25 = 105,214/x
  3. Step 3: Cross multiply
    307,616.33x = 461,496.25 × 105,214
  4. Step 4: Simplify right side
    307,616.33x = 48,555,866,447.50
  5. Step 5: Solve for x
    x = 48,555,866,447.50/307,616.33
  6. Step 6: Final answer
    x = 157,845.54

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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.