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Finding the Fourth Proportional to 193,872.80, 290,809.20 and 109,546.40

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Solution

The fourth proportional to 193,872.80, 290,809.20 and 109,546.40 is: 164,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,872.80 : 290,809.20 = 109,546.40 : x
  2. Step 2: Convert to fraction form
    193,872.80/290,809.20 = 109,546.40/x
  3. Step 3: Cross multiply
    193,872.80x = 290,809.20 × 109,546.40
  4. Step 4: Simplify right side
    193,872.80x = 31,857,100,946.88
  5. Step 5: Solve for x
    x = 31,857,100,946.88/193,872.80
  6. Step 6: Final answer
    x = 164,319.60

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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.