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Finding the Fourth Proportional to 339,144.20, 508,716.30 and 102,523.40

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Solution

The fourth proportional to 339,144.20, 508,716.30 and 102,523.40 is: 153,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,144.20 : 508,716.30 = 102,523.40 : x
  2. Step 2: Convert to fraction form
    339,144.20/508,716.30 = 102,523.40/x
  3. Step 3: Cross multiply
    339,144.20x = 508,716.30 × 102,523.40
  4. Step 4: Simplify right side
    339,144.20x = 52,155,324,711.42
  5. Step 5: Solve for x
    x = 52,155,324,711.42/339,144.20
  6. Step 6: Final answer
    x = 153,785.10

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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.