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Finding the Fourth Proportional to 192,367.31, 265,458.67 and 106,321.88

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Solution

The fourth proportional to 192,367.31, 265,458.67 and 106,321.88 is: 146,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,367.31 : 265,458.67 = 106,321.88 : x
  2. Step 2: Convert to fraction form
    192,367.31/265,458.67 = 106,321.88/x
  3. Step 3: Cross multiply
    192,367.31x = 265,458.67 × 106,321.88
  4. Step 4: Simplify right side
    192,367.31x = 28,224,065,254.54
  5. Step 5: Solve for x
    x = 28,224,065,254.54/192,367.31
  6. Step 6: Final answer
    x = 146,719.66

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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.