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Finding the Fourth Proportional to 229,383.63, 316,439.55 and 161,438.31

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Solution

The fourth proportional to 229,383.63, 316,439.55 and 161,438.31 is: 222,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,383.63 : 316,439.55 = 161,438.31 : x
  2. Step 2: Convert to fraction form
    229,383.63/316,439.55 = 161,438.31/x
  3. Step 3: Cross multiply
    229,383.63x = 316,439.55 × 161,438.31
  4. Step 4: Simplify right side
    229,383.63x = 51,085,466,169.16
  5. Step 5: Solve for x
    x = 51,085,466,169.16/229,383.63
  6. Step 6: Final answer
    x = 222,707.55

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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.