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Finding the Fourth Proportional to 180,744.21, 269,500.41 and 175,778.49

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Solution

The fourth proportional to 180,744.21, 269,500.41 and 175,778.49 is: 262,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,744.21 : 269,500.41 = 175,778.49 : x
  2. Step 2: Convert to fraction form
    180,744.21/269,500.41 = 175,778.49/x
  3. Step 3: Cross multiply
    180,744.21x = 269,500.41 × 175,778.49
  4. Step 4: Simplify right side
    180,744.21x = 47,372,375,124.18
  5. Step 5: Solve for x
    x = 47,372,375,124.18/180,744.21
  6. Step 6: Final answer
    x = 262,096.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.