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Finding the Fourth Proportional to 180,904.60, 271,356.90 and 110,920.60

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Solution

The fourth proportional to 180,904.60, 271,356.90 and 110,920.60 is: 166,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904.60 : 271,356.90 = 110,920.60 : x
  2. Step 2: Convert to fraction form
    180,904.60/271,356.90 = 110,920.60/x
  3. Step 3: Cross multiply
    180,904.60x = 271,356.90 × 110,920.60
  4. Step 4: Simplify right side
    180,904.60x = 30,099,070,162.14
  5. Step 5: Solve for x
    x = 30,099,070,162.14/180,904.60
  6. Step 6: Final answer
    x = 166,380.90

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Why These Related Problems?

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