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Finding the Fourth Proportional to 271,809.78, 375,096.02 and 149,304.56

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Solution

The fourth proportional to 271,809.78, 375,096.02 and 149,304.56 is: 206,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.78 : 375,096.02 = 149,304.56 : x
  2. Step 2: Convert to fraction form
    271,809.78/375,096.02 = 149,304.56/x
  3. Step 3: Cross multiply
    271,809.78x = 375,096.02 × 149,304.56
  4. Step 4: Simplify right side
    271,809.78x = 56,003,546,223.85
  5. Step 5: Solve for x
    x = 56,003,546,223.85/271,809.78
  6. Step 6: Final answer
    x = 206,039.48

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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.