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Finding the Fourth Proportional to 192,427.68, 265,378.24 and 120,814.38

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Solution

The fourth proportional to 192,427.68, 265,378.24 and 120,814.38 is: 166,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,427.68 : 265,378.24 = 120,814.38 : x
  2. Step 2: Convert to fraction form
    192,427.68/265,378.24 = 120,814.38/x
  3. Step 3: Cross multiply
    192,427.68x = 265,378.24 × 120,814.38
  4. Step 4: Simplify right side
    192,427.68x = 32,061,507,531.09
  5. Step 5: Solve for x
    x = 32,061,507,531.09/192,427.68
  6. Step 6: Final answer
    x = 166,615.88

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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.