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Finding the Fourth Proportional to 269,805.26, 372,321.47 and 148,943.94

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Solution

The fourth proportional to 269,805.26, 372,321.47 and 148,943.94 is: 205,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,805.26 : 372,321.47 = 148,943.94 : x
  2. Step 2: Convert to fraction form
    269,805.26/372,321.47 = 148,943.94/x
  3. Step 3: Cross multiply
    269,805.26x = 372,321.47 × 148,943.94
  4. Step 4: Simplify right side
    269,805.26x = 55,455,027,060.75
  5. Step 5: Solve for x
    x = 55,455,027,060.75/269,805.26
  6. Step 6: Final answer
    x = 205,537.24

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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.