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Finding the Fourth Proportional to 269,524.76, 371,927.25 and 148,665.74

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Solution

The fourth proportional to 269,524.76, 371,927.25 and 148,665.74 is: 205,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,524.76 : 371,927.25 = 148,665.74 : x
  2. Step 2: Convert to fraction form
    269,524.76/371,927.25 = 148,665.74/x
  3. Step 3: Cross multiply
    269,524.76x = 371,927.25 × 148,665.74
  4. Step 4: Simplify right side
    269,524.76x = 55,292,837,987.78
  5. Step 5: Solve for x
    x = 55,292,837,987.78/269,524.76
  6. Step 6: Final answer
    x = 205,149.39

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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.