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Finding the Fourth Proportional to 222,606.24, 307,197.84 and 120,632.16

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Solution

The fourth proportional to 222,606.24, 307,197.84 and 120,632.16 is: 166,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,606.24 : 307,197.84 = 120,632.16 : x
  2. Step 2: Convert to fraction form
    222,606.24/307,197.84 = 120,632.16/x
  3. Step 3: Cross multiply
    222,606.24x = 307,197.84 × 120,632.16
  4. Step 4: Simplify right side
    222,606.24x = 37,057,938,986.53
  5. Step 5: Solve for x
    x = 37,057,938,986.53/222,606.24
  6. Step 6: Final answer
    x = 166,473.05

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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.