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Finding the Fourth Proportional to 283,642.29, 425,537.24 and 106,163.01

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Solution

The fourth proportional to 283,642.29, 425,537.24 and 106,163.01 is: 159,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.29 : 425,537.24 = 106,163.01 : x
  2. Step 2: Convert to fraction form
    283,642.29/425,537.24 = 106,163.01/x
  3. Step 3: Cross multiply
    283,642.29x = 425,537.24 × 106,163.01
  4. Step 4: Simplify right side
    283,642.29x = 45,176,313,734.68
  5. Step 5: Solve for x
    x = 45,176,313,734.68/283,642.29
  6. Step 6: Final answer
    x = 159,272.14

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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.