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Finding the Fourth Proportional to 129,911.70, 194,873.01 and 41,163.24

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Solution

The fourth proportional to 129,911.70, 194,873.01 and 41,163.24 is: 61,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,911.70 : 194,873.01 = 41,163.24 : x
  2. Step 2: Convert to fraction form
    129,911.70/194,873.01 = 41,163.24/x
  3. Step 3: Cross multiply
    129,911.70x = 194,873.01 × 41,163.24
  4. Step 4: Simplify right side
    129,911.70x = 8,021,604,307.72
  5. Step 5: Solve for x
    x = 8,021,604,307.72/129,911.70
  6. Step 6: Final answer
    x = 61,746.59

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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.