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Finding the Fourth Proportional to 177,918.31, 267,517.62 and 164,048.02

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Solution

The fourth proportional to 177,918.31, 267,517.62 and 164,048.02 is: 246,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,918.31 : 267,517.62 = 164,048.02 : x
  2. Step 2: Convert to fraction form
    177,918.31/267,517.62 = 164,048.02/x
  3. Step 3: Cross multiply
    177,918.31x = 267,517.62 × 164,048.02
  4. Step 4: Simplify right side
    177,918.31x = 43,885,735,876.11
  5. Step 5: Solve for x
    x = 43,885,735,876.11/177,918.31
  6. Step 6: Final answer
    x = 246,662.28

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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.