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Finding the Fourth Proportional to 271,463.10, 374,621.13 and 148,954.65

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Solution

The fourth proportional to 271,463.10, 374,621.13 and 148,954.65 is: 205,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,463.10 : 374,621.13 = 148,954.65 : x
  2. Step 2: Convert to fraction form
    271,463.10/374,621.13 = 148,954.65/x
  3. Step 3: Cross multiply
    271,463.10x = 374,621.13 × 148,954.65
  4. Step 4: Simplify right side
    271,463.10x = 55,801,559,301.75
  5. Step 5: Solve for x
    x = 55,801,559,301.75/271,463.10
  6. Step 6: Final answer
    x = 205,558.54

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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.