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Finding the Fourth Proportional to 209,082.72, 288,337.44 and 161,260.32

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Solution

The fourth proportional to 209,082.72, 288,337.44 and 161,260.32 is: 222,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,082.72 : 288,337.44 = 161,260.32 : x
  2. Step 2: Convert to fraction form
    209,082.72/288,337.44 = 161,260.32/x
  3. Step 3: Cross multiply
    209,082.72x = 288,337.44 × 161,260.32
  4. Step 4: Simplify right side
    209,082.72x = 46,497,387,842.38
  5. Step 5: Solve for x
    x = 46,497,387,842.38/209,082.72
  6. Step 6: Final answer
    x = 222,387.52

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Why These Related Problems?

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