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Finding the Fourth Proportional to 150,033.80, 207,046.26 and 82,966.28

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Solution

The fourth proportional to 150,033.80, 207,046.26 and 82,966.28 is: 114,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,033.80 : 207,046.26 = 82,966.28 : x
  2. Step 2: Convert to fraction form
    150,033.80/207,046.26 = 82,966.28/x
  3. Step 3: Cross multiply
    150,033.80x = 207,046.26 × 82,966.28
  4. Step 4: Simplify right side
    150,033.80x = 17,177,857,980.11
  5. Step 5: Solve for x
    x = 17,177,857,980.11/150,033.80
  6. Step 6: Final answer
    x = 114,493.25

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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.