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Finding the Fourth Proportional to 267,896.36, 369,747.94 and 177,254.12

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Solution

The fourth proportional to 267,896.36, 369,747.94 and 177,254.12 is: 244,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,896.36 : 369,747.94 = 177,254.12 : x
  2. Step 2: Convert to fraction form
    267,896.36/369,747.94 = 177,254.12/x
  3. Step 3: Cross multiply
    267,896.36x = 369,747.94 × 177,254.12
  4. Step 4: Simplify right side
    267,896.36x = 65,539,345,726.51
  5. Step 5: Solve for x
    x = 65,539,345,726.51/267,896.36
  6. Step 6: Final answer
    x = 244,644.41

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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.