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Finding the Fourth Proportional to 150,265, 207,344.10 and 127,694.44

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Solution

The fourth proportional to 150,265, 207,344.10 and 127,694.44 is: 176,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265 : 207,344.10 = 127,694.44 : x
  2. Step 2: Convert to fraction form
    150,265/207,344.10 = 127,694.44/x
  3. Step 3: Cross multiply
    150,265x = 207,344.10 × 127,694.44
  4. Step 4: Simplify right side
    150,265x = 26,476,688,736.80
  5. Step 5: Solve for x
    x = 26,476,688,736.80/150,265
  6. Step 6: Final answer
    x = 176,199.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.