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Finding the Fourth Proportional to 150,996, 208,387.44 and 83,940.96

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Solution

The fourth proportional to 150,996, 208,387.44 and 83,940.96 is: 115,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,996 : 208,387.44 = 83,940.96 : x
  2. Step 2: Convert to fraction form
    150,996/208,387.44 = 83,940.96/x
  3. Step 3: Cross multiply
    150,996x = 208,387.44 × 83,940.96
  4. Step 4: Simplify right side
    150,996x = 17,492,241,765.54
  5. Step 5: Solve for x
    x = 17,492,241,765.54/150,996
  6. Step 6: Final answer
    x = 115,845.73

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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.