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Finding the Fourth Proportional to 269,521.62, 371,933.32 and 148,660.31

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Solution

The fourth proportional to 269,521.62, 371,933.32 and 148,660.31 is: 205,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,521.62 : 371,933.32 = 148,660.31 : x
  2. Step 2: Convert to fraction form
    269,521.62/371,933.32 = 148,660.31/x
  3. Step 3: Cross multiply
    269,521.62x = 371,933.32 × 148,660.31
  4. Step 4: Simplify right side
    269,521.62x = 55,291,722,650.53
  5. Step 5: Solve for x
    x = 55,291,722,650.53/269,521.62
  6. Step 6: Final answer
    x = 205,147.63

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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.