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Finding the Fourth Proportional to 271,974.96, 375,317.32 and 149,467.76

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Solution

The fourth proportional to 271,974.96, 375,317.32 and 149,467.76 is: 206,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974.96 : 375,317.32 = 149,467.76 : x
  2. Step 2: Convert to fraction form
    271,974.96/375,317.32 = 149,467.76/x
  3. Step 3: Cross multiply
    271,974.96x = 375,317.32 × 149,467.76
  4. Step 4: Simplify right side
    271,974.96x = 56,097,839,109.60
  5. Step 5: Solve for x
    x = 56,097,839,109.60/271,974.96
  6. Step 6: Final answer
    x = 206,261.04

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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.