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Finding the Fourth Proportional to 150,011.88, 207,019.38 and 82,033.08

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Solution

The fourth proportional to 150,011.88, 207,019.38 and 82,033.08 is: 113,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,011.88 : 207,019.38 = 82,033.08 : x
  2. Step 2: Convert to fraction form
    150,011.88/207,019.38 = 82,033.08/x
  3. Step 3: Cross multiply
    150,011.88x = 207,019.38 × 82,033.08
  4. Step 4: Simplify right side
    150,011.88x = 16,982,437,361.09
  5. Step 5: Solve for x
    x = 16,982,437,361.09/150,011.88
  6. Step 6: Final answer
    x = 113,207.28

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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.