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Finding the Fourth Proportional to 192,438.20, 288,657.30 and 109,494.20

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Solution

The fourth proportional to 192,438.20, 288,657.30 and 109,494.20 is: 164,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,438.20 : 288,657.30 = 109,494.20 : x
  2. Step 2: Convert to fraction form
    192,438.20/288,657.30 = 109,494.20/x
  3. Step 3: Cross multiply
    192,438.20x = 288,657.30 × 109,494.20
  4. Step 4: Simplify right side
    192,438.20x = 31,606,300,137.66
  5. Step 5: Solve for x
    x = 31,606,300,137.66/192,438.20
  6. Step 6: Final answer
    x = 164,241.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.