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Finding the Fourth Proportional to 217,162.86, 325,295.92 and 161,066.31

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Solution

The fourth proportional to 217,162.86, 325,295.92 and 161,066.31 is: 241,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,162.86 : 325,295.92 = 161,066.31 : x
  2. Step 2: Convert to fraction form
    217,162.86/325,295.92 = 161,066.31/x
  3. Step 3: Cross multiply
    217,162.86x = 325,295.92 × 161,066.31
  4. Step 4: Simplify right side
    217,162.86x = 52,394,213,492.46
  5. Step 5: Solve for x
    x = 52,394,213,492.46/217,162.86
  6. Step 6: Final answer
    x = 241,266.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.