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Finding the Fourth Proportional to 271,200, 374,256 and 158,022.72

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Solution

The fourth proportional to 271,200, 374,256 and 158,022.72 is: 218,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,200 : 374,256 = 158,022.72 : x
  2. Step 2: Convert to fraction form
    271,200/374,256 = 158,022.72/x
  3. Step 3: Cross multiply
    271,200x = 374,256 × 158,022.72
  4. Step 4: Simplify right side
    271,200x = 59,140,951,096.32
  5. Step 5: Solve for x
    x = 59,140,951,096.32/271,200
  6. Step 6: Final answer
    x = 218,071.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.