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Finding the Fourth Proportional to 129,777.10, 194,629.20 and 41,057.80

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Solution

The fourth proportional to 129,777.10, 194,629.20 and 41,057.80 is: 61,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,777.10 : 194,629.20 = 41,057.80 : x
  2. Step 2: Convert to fraction form
    129,777.10/194,629.20 = 41,057.80/x
  3. Step 3: Cross multiply
    129,777.10x = 194,629.20 × 41,057.80
  4. Step 4: Simplify right side
    129,777.10x = 7,991,046,767.76
  5. Step 5: Solve for x
    x = 7,991,046,767.76/129,777.10
  6. Step 6: Final answer
    x = 61,575.17

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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.