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Finding the Fourth Proportional to 180,841.74, 271,315.38 and 80,978.58

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Solution

The fourth proportional to 180,841.74, 271,315.38 and 80,978.58 is: 121,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,841.74 : 271,315.38 = 80,978.58 : x
  2. Step 2: Convert to fraction form
    180,841.74/271,315.38 = 80,978.58/x
  3. Step 3: Cross multiply
    180,841.74x = 271,315.38 × 80,978.58
  4. Step 4: Simplify right side
    180,841.74x = 21,970,734,204.56
  5. Step 5: Solve for x
    x = 21,970,734,204.56/180,841.74
  6. Step 6: Final answer
    x = 121,491.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.