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Finding the Fourth Proportional to 269,091.88, 371,327.62 and 160,190.44

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Solution

The fourth proportional to 269,091.88, 371,327.62 and 160,190.44 is: 221,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,091.88 : 371,327.62 = 160,190.44 : x
  2. Step 2: Convert to fraction form
    269,091.88/371,327.62 = 160,190.44/x
  3. Step 3: Cross multiply
    269,091.88x = 371,327.62 × 160,190.44
  4. Step 4: Simplify right side
    269,091.88x = 59,483,134,831.95
  5. Step 5: Solve for x
    x = 59,483,134,831.95/269,091.88
  6. Step 6: Final answer
    x = 221,051.39

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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.