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Finding the Fourth Proportional to 268,947.54, 371,144.34 and 148,086.36

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Solution

The fourth proportional to 268,947.54, 371,144.34 and 148,086.36 is: 204,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,947.54 : 371,144.34 = 148,086.36 : x
  2. Step 2: Convert to fraction form
    268,947.54/371,144.34 = 148,086.36/x
  3. Step 3: Cross multiply
    268,947.54x = 371,144.34 × 148,086.36
  4. Step 4: Simplify right side
    268,947.54x = 54,961,414,345.20
  5. Step 5: Solve for x
    x = 54,961,414,345.20/268,947.54
  6. Step 6: Final answer
    x = 204,357.38

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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.