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Finding the Fourth Proportional to 231,107.38, 318,942.97 and 129,133.10

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Solution

The fourth proportional to 231,107.38, 318,942.97 and 129,133.10 is: 178,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,107.38 : 318,942.97 = 129,133.10 : x
  2. Step 2: Convert to fraction form
    231,107.38/318,942.97 = 129,133.10/x
  3. Step 3: Cross multiply
    231,107.38x = 318,942.97 × 129,133.10
  4. Step 4: Simplify right side
    231,107.38x = 41,186,094,913.83
  5. Step 5: Solve for x
    x = 41,186,094,913.83/231,107.38
  6. Step 6: Final answer
    x = 178,211.94

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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.