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Finding the Fourth Proportional to 222,794.99, 307,457.17 and 120,820.42

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Solution

The fourth proportional to 222,794.99, 307,457.17 and 120,820.42 is: 166,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,794.99 : 307,457.17 = 120,820.42 : x
  2. Step 2: Convert to fraction form
    222,794.99/307,457.17 = 120,820.42/x
  3. Step 3: Cross multiply
    222,794.99x = 307,457.17 × 120,820.42
  4. Step 4: Simplify right side
    222,794.99x = 37,147,104,493.68
  5. Step 5: Solve for x
    x = 37,147,104,493.68/222,794.99
  6. Step 6: Final answer
    x = 166,732.22

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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.