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Finding the Fourth Proportional to 229,832.10, 316,906.77 and 161,827.32

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Solution

The fourth proportional to 229,832.10, 316,906.77 and 161,827.32 is: 223,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,832.10 : 316,906.77 = 161,827.32 : x
  2. Step 2: Convert to fraction form
    229,832.10/316,906.77 = 161,827.32/x
  3. Step 3: Cross multiply
    229,832.10x = 316,906.77 × 161,827.32
  4. Step 4: Simplify right side
    229,832.10x = 51,284,173,278.96
  5. Step 5: Solve for x
    x = 51,284,173,278.96/229,832.10
  6. Step 6: Final answer
    x = 223,137.56

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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.