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Finding the Fourth Proportional to 222,906.38, 307,610.77 and 127,415.12

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Solution

The fourth proportional to 222,906.38, 307,610.77 and 127,415.12 is: 175,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,906.38 : 307,610.77 = 127,415.12 : x
  2. Step 2: Convert to fraction form
    222,906.38/307,610.77 = 127,415.12/x
  3. Step 3: Cross multiply
    222,906.38x = 307,610.77 × 127,415.12
  4. Step 4: Simplify right side
    222,906.38x = 39,194,263,623.33
  5. Step 5: Solve for x
    x = 39,194,263,623.33/222,906.38
  6. Step 6: Final answer
    x = 175,832.85

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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.