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Finding the Fourth Proportional to 228,617.40, 343,147.43 and 110,371.71

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Solution

The fourth proportional to 228,617.40, 343,147.43 and 110,371.71 is: 165,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,617.40 : 343,147.43 = 110,371.71 : x
  2. Step 2: Convert to fraction form
    228,617.40/343,147.43 = 110,371.71/x
  3. Step 3: Cross multiply
    228,617.40x = 343,147.43 × 110,371.71
  4. Step 4: Simplify right side
    228,617.40x = 37,873,768,907.13
  5. Step 5: Solve for x
    x = 37,873,768,907.13/228,617.40
  6. Step 6: Final answer
    x = 165,664.42

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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.