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Finding the Fourth Proportional to 106,209.99, 146,568.69 and 58,462.38

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Solution

The fourth proportional to 106,209.99, 146,568.69 and 58,462.38 is: 80,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,209.99 : 146,568.69 = 58,462.38 : x
  2. Step 2: Convert to fraction form
    106,209.99/146,568.69 = 58,462.38/x
  3. Step 3: Cross multiply
    106,209.99x = 146,568.69 × 58,462.38
  4. Step 4: Simplify right side
    106,209.99x = 8,568,754,450.88
  5. Step 5: Solve for x
    x = 8,568,754,450.88/106,209.99
  6. Step 6: Final answer
    x = 80,677.48

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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.