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Finding the Fourth Proportional to 441,198.50, 661,735.26 and 141,639.63

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Solution

The fourth proportional to 441,198.50, 661,735.26 and 141,639.63 is: 212,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,198.50 : 661,735.26 = 141,639.63 : x
  2. Step 2: Convert to fraction form
    441,198.50/661,735.26 = 141,639.63/x
  3. Step 3: Cross multiply
    441,198.50x = 661,735.26 × 141,639.63
  4. Step 4: Simplify right side
    441,198.50x = 93,727,937,384.35
  5. Step 5: Solve for x
    x = 93,727,937,384.35/441,198.50
  6. Step 6: Final answer
    x = 212,439.38

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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.