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Finding the Fourth Proportional to 283,666, 425,571.92 and 106,175.56

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Solution

The fourth proportional to 283,666, 425,571.92 and 106,175.56 is: 159,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,666 : 425,571.92 = 106,175.56 : x
  2. Step 2: Convert to fraction form
    283,666/425,571.92 = 106,175.56/x
  3. Step 3: Cross multiply
    283,666x = 425,571.92 × 106,175.56
  4. Step 4: Simplify right side
    283,666x = 45,185,336,926.28
  5. Step 5: Solve for x
    x = 45,185,336,926.28/283,666
  6. Step 6: Final answer
    x = 159,290.63

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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.