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Finding the Fourth Proportional to 138,294.92, 190,474.26 and 119,399.24

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Solution

The fourth proportional to 138,294.92, 190,474.26 and 119,399.24 is: 164,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.92 : 190,474.26 = 119,399.24 : x
  2. Step 2: Convert to fraction form
    138,294.92/190,474.26 = 119,399.24/x
  3. Step 3: Cross multiply
    138,294.92x = 190,474.26 × 119,399.24
  4. Step 4: Simplify right side
    138,294.92x = 22,742,481,883.56
  5. Step 5: Solve for x
    x = 22,742,481,883.56/138,294.92
  6. Step 6: Final answer
    x = 164,449.15

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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.