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Finding the Fourth Proportional to 199,378.64, 275,134.92 and 109,954.64

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Solution

The fourth proportional to 199,378.64, 275,134.92 and 109,954.64 is: 151,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,378.64 : 275,134.92 = 109,954.64 : x
  2. Step 2: Convert to fraction form
    199,378.64/275,134.92 = 109,954.64/x
  3. Step 3: Cross multiply
    199,378.64x = 275,134.92 × 109,954.64
  4. Step 4: Simplify right side
    199,378.64x = 30,252,361,080.03
  5. Step 5: Solve for x
    x = 30,252,361,080.03/199,378.64
  6. Step 6: Final answer
    x = 151,733.21

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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.