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Finding the Fourth Proportional to 275,882.36, 380,728.92 and 155,023.28

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Solution

The fourth proportional to 275,882.36, 380,728.92 and 155,023.28 is: 213,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,882.36 : 380,728.92 = 155,023.28 : x
  2. Step 2: Convert to fraction form
    275,882.36/380,728.92 = 155,023.28/x
  3. Step 3: Cross multiply
    275,882.36x = 380,728.92 × 155,023.28
  4. Step 4: Simplify right side
    275,882.36x = 59,021,845,969.26
  5. Step 5: Solve for x
    x = 59,021,845,969.26/275,882.36
  6. Step 6: Final answer
    x = 213,938.46

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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.