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Finding the Fourth Proportional to 221,892, 332,921.76 and 133,207.32

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Solution

The fourth proportional to 221,892, 332,921.76 and 133,207.32 is: 199,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,892 : 332,921.76 = 133,207.32 : x
  2. Step 2: Convert to fraction form
    221,892/332,921.76 = 133,207.32/x
  3. Step 3: Cross multiply
    221,892x = 332,921.76 × 133,207.32
  4. Step 4: Simplify right side
    221,892x = 44,347,615,419.28
  5. Step 5: Solve for x
    x = 44,347,615,419.28/221,892
  6. Step 6: Final answer
    x = 199,861.26

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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.