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Finding the Fourth Proportional to 271,381.84, 407,067.90 and 111,423.04

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Solution

The fourth proportional to 271,381.84, 407,067.90 and 111,423.04 is: 167,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,381.84 : 407,067.90 = 111,423.04 : x
  2. Step 2: Convert to fraction form
    271,381.84/407,067.90 = 111,423.04/x
  3. Step 3: Cross multiply
    271,381.84x = 407,067.90 × 111,423.04
  4. Step 4: Simplify right side
    271,381.84x = 45,356,742,904.42
  5. Step 5: Solve for x
    x = 45,356,742,904.42/271,381.84
  6. Step 6: Final answer
    x = 167,132.56

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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.