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Finding the Fourth Proportional to 129,664.70, 194,642.85 and 100,213.10

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Solution

The fourth proportional to 129,664.70, 194,642.85 and 100,213.10 is: 150,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,664.70 : 194,642.85 = 100,213.10 : x
  2. Step 2: Convert to fraction form
    129,664.70/194,642.85 = 100,213.10/x
  3. Step 3: Cross multiply
    129,664.70x = 194,642.85 × 100,213.10
  4. Step 4: Simplify right side
    129,664.70x = 19,505,763,391.34
  5. Step 5: Solve for x
    x = 19,505,763,391.34/129,664.70
  6. Step 6: Final answer
    x = 150,432.33

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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.