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Finding the Fourth Proportional to 129,896.66, 194,842.87 and 41,150.03

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Solution

The fourth proportional to 129,896.66, 194,842.87 and 41,150.03 is: 61,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896.66 : 194,842.87 = 41,150.03 : x
  2. Step 2: Convert to fraction form
    129,896.66/194,842.87 = 41,150.03/x
  3. Step 3: Cross multiply
    129,896.66x = 194,842.87 × 41,150.03
  4. Step 4: Simplify right side
    129,896.66x = 8,017,788,868.70
  5. Step 5: Solve for x
    x = 8,017,788,868.70/129,896.66
  6. Step 6: Final answer
    x = 61,724.36

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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.