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Finding the Fourth Proportional to 230,814.38, 346,168.11 and 73,013.42

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Solution

The fourth proportional to 230,814.38, 346,168.11 and 73,013.42 is: 109,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,814.38 : 346,168.11 = 73,013.42 : x
  2. Step 2: Convert to fraction form
    230,814.38/346,168.11 = 73,013.42/x
  3. Step 3: Cross multiply
    230,814.38x = 346,168.11 × 73,013.42
  4. Step 4: Simplify right side
    230,814.38x = 25,274,917,606.04
  5. Step 5: Solve for x
    x = 25,274,917,606.04/230,814.38
  6. Step 6: Final answer
    x = 109,503.22

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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.