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Finding the Fourth Proportional to 461,163.34, 691,766.22 and 141,292.30

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Solution

The fourth proportional to 461,163.34, 691,766.22 and 141,292.30 is: 211,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,163.34 : 691,766.22 = 141,292.30 : x
  2. Step 2: Convert to fraction form
    461,163.34/691,766.22 = 141,292.30/x
  3. Step 3: Cross multiply
    461,163.34x = 691,766.22 × 141,292.30
  4. Step 4: Simplify right side
    461,163.34x = 97,741,240,286.11
  5. Step 5: Solve for x
    x = 97,741,240,286.11/461,163.34
  6. Step 6: Final answer
    x = 211,944.95

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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.