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Finding the Fourth Proportional to 192,114.11, 265,121.65 and 106,072.81

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Solution

The fourth proportional to 192,114.11, 265,121.65 and 106,072.81 is: 146,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,114.11 : 265,121.65 = 106,072.81 : x
  2. Step 2: Convert to fraction form
    192,114.11/265,121.65 = 106,072.81/x
  3. Step 3: Cross multiply
    192,114.11x = 265,121.65 × 106,072.81
  4. Step 4: Simplify right side
    192,114.11x = 28,122,197,479.35
  5. Step 5: Solve for x
    x = 28,122,197,479.35/192,114.11
  6. Step 6: Final answer
    x = 146,382.78

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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.