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Finding the Fourth Proportional to 192,067.65, 265,068.05 and 106,043.22

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Solution

The fourth proportional to 192,067.65, 265,068.05 and 106,043.22 is: 146,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,067.65 : 265,068.05 = 106,043.22 : x
  2. Step 2: Convert to fraction form
    192,067.65/265,068.05 = 106,043.22/x
  3. Step 3: Cross multiply
    192,067.65x = 265,068.05 × 106,043.22
  4. Step 4: Simplify right side
    192,067.65x = 28,108,669,010.90
  5. Step 5: Solve for x
    x = 28,108,669,010.90/192,067.65
  6. Step 6: Final answer
    x = 146,347.75

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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.