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Finding the Fourth Proportional to 153,198.30, 211,410.57 and 85,213.80

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Solution

The fourth proportional to 153,198.30, 211,410.57 and 85,213.80 is: 117,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198.30 : 211,410.57 = 85,213.80 : x
  2. Step 2: Convert to fraction form
    153,198.30/211,410.57 = 85,213.80/x
  3. Step 3: Cross multiply
    153,198.30x = 211,410.57 × 85,213.80
  4. Step 4: Simplify right side
    153,198.30x = 18,015,098,029.87
  5. Step 5: Solve for x
    x = 18,015,098,029.87/153,198.30
  6. Step 6: Final answer
    x = 117,593.33

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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.