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Finding the Fourth Proportional to 129,805.70, 194,719.48 and 41,057.24

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Solution

The fourth proportional to 129,805.70, 194,719.48 and 41,057.24 is: 61,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,805.70 : 194,719.48 = 41,057.24 : x
  2. Step 2: Convert to fraction form
    129,805.70/194,719.48 = 41,057.24/x
  3. Step 3: Cross multiply
    129,805.70x = 194,719.48 × 41,057.24
  4. Step 4: Simplify right side
    129,805.70x = 7,994,644,423.04
  5. Step 5: Solve for x
    x = 7,994,644,423.04/129,805.70
  6. Step 6: Final answer
    x = 61,589.32

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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.