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Finding the Fourth Proportional to 358,860.43, 538,395.89 and 106,147.57

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Solution

The fourth proportional to 358,860.43, 538,395.89 and 106,147.57 is: 159,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,860.43 : 538,395.89 = 106,147.57 : x
  2. Step 2: Convert to fraction form
    358,860.43/538,395.89 = 106,147.57/x
  3. Step 3: Cross multiply
    358,860.43x = 538,395.89 × 106,147.57
  4. Step 4: Simplify right side
    358,860.43x = 57,149,412,879.97
  5. Step 5: Solve for x
    x = 57,149,412,879.97/358,860.43
  6. Step 6: Final answer
    x = 159,252.48

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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.