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Finding the Fourth Proportional to 307,968.30, 461,996.19 and 94,753.88

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Solution

The fourth proportional to 307,968.30, 461,996.19 and 94,753.88 is: 142,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968.30 : 461,996.19 = 94,753.88 : x
  2. Step 2: Convert to fraction form
    307,968.30/461,996.19 = 94,753.88/x
  3. Step 3: Cross multiply
    307,968.30x = 461,996.19 × 94,753.88
  4. Step 4: Simplify right side
    307,968.30x = 43,775,929,237.74
  5. Step 5: Solve for x
    x = 43,775,929,237.74/307,968.30
  6. Step 6: Final answer
    x = 142,144.27

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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.