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Finding the Fourth Proportional to 153,198.22, 211,410.43 and 85,213.73

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Solution

The fourth proportional to 153,198.22, 211,410.43 and 85,213.73 is: 117,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198.22 : 211,410.43 = 85,213.73 : x
  2. Step 2: Convert to fraction form
    153,198.22/211,410.43 = 85,213.73/x
  3. Step 3: Cross multiply
    153,198.22x = 211,410.43 × 85,213.73
  4. Step 4: Simplify right side
    153,198.22x = 18,015,072,153.66
  5. Step 5: Solve for x
    x = 18,015,072,153.66/153,198.22
  6. Step 6: Final answer
    x = 117,593.22

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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.