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Finding the Fourth Proportional to 221,956.38, 306,213.75 and 141,369.48

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Solution

The fourth proportional to 221,956.38, 306,213.75 and 141,369.48 is: 195,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,956.38 : 306,213.75 = 141,369.48 : x
  2. Step 2: Convert to fraction form
    221,956.38/306,213.75 = 141,369.48/x
  3. Step 3: Cross multiply
    221,956.38x = 306,213.75 × 141,369.48
  4. Step 4: Simplify right side
    221,956.38x = 43,289,278,606.35
  5. Step 5: Solve for x
    x = 43,289,278,606.35/221,956.38
  6. Step 6: Final answer
    x = 195,035.07

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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.