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Finding the Fourth Proportional to 189,589.60, 261,649.12 and 109,043.20

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Solution

The fourth proportional to 189,589.60, 261,649.12 and 109,043.20 is: 150,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,589.60 : 261,649.12 = 109,043.20 : x
  2. Step 2: Convert to fraction form
    189,589.60/261,649.12 = 109,043.20/x
  3. Step 3: Cross multiply
    189,589.60x = 261,649.12 × 109,043.20
  4. Step 4: Simplify right side
    189,589.60x = 28,531,057,321.98
  5. Step 5: Solve for x
    x = 28,531,057,321.98/189,589.60
  6. Step 6: Final answer
    x = 150,488.51

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1.5x scale

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.