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Finding the Fourth Proportional to 192,175.88, 265,204.68 and 106,137

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Solution

The fourth proportional to 192,175.88, 265,204.68 and 106,137 is: 146,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,175.88 : 265,204.68 = 106,137 : x
  2. Step 2: Convert to fraction form
    192,175.88/265,204.68 = 106,137/x
  3. Step 3: Cross multiply
    192,175.88x = 265,204.68 × 106,137
  4. Step 4: Simplify right side
    192,175.88x = 28,148,029,121.16
  5. Step 5: Solve for x
    x = 28,148,029,121.16/192,175.88
  6. Step 6: Final answer
    x = 146,470.15

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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.