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Finding the Fourth Proportional to 222,828, 307,507.68 and 122,226

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Solution

The fourth proportional to 222,828, 307,507.68 and 122,226 is: 168,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,828 : 307,507.68 = 122,226 : x
  2. Step 2: Convert to fraction form
    222,828/307,507.68 = 122,226/x
  3. Step 3: Cross multiply
    222,828x = 307,507.68 × 122,226
  4. Step 4: Simplify right side
    222,828x = 37,585,433,695.68
  5. Step 5: Solve for x
    x = 37,585,433,695.68/222,828
  6. Step 6: Final answer
    x = 168,674.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.