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Finding the Fourth Proportional to 307,614.33, 461,493.25 and 105,212

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Solution

The fourth proportional to 307,614.33, 461,493.25 and 105,212 is: 157,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,614.33 : 461,493.25 = 105,212 : x
  2. Step 2: Convert to fraction form
    307,614.33/461,493.25 = 105,212/x
  3. Step 3: Cross multiply
    307,614.33x = 461,493.25 × 105,212
  4. Step 4: Simplify right side
    307,614.33x = 48,554,627,819
  5. Step 5: Solve for x
    x = 48,554,627,819/307,614.33
  6. Step 6: Final answer
    x = 157,842.54

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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.