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Finding the Fourth Proportional to 193,819.20, 290,671.20 and 75,422.40

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Solution

The fourth proportional to 193,819.20, 290,671.20 and 75,422.40 is: 113,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,819.20 : 290,671.20 = 75,422.40 : x
  2. Step 2: Convert to fraction form
    193,819.20/290,671.20 = 75,422.40/x
  3. Step 3: Cross multiply
    193,819.20x = 290,671.20 × 75,422.40
  4. Step 4: Simplify right side
    193,819.20x = 21,923,119,514.88
  5. Step 5: Solve for x
    x = 21,923,119,514.88/193,819.20
  6. Step 6: Final answer
    x = 113,111.19

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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.