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Finding the Fourth Proportional to 365,301.20, 504,081.96 and 204,133.76

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Solution

The fourth proportional to 365,301.20, 504,081.96 and 204,133.76 is: 281,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,301.20 : 504,081.96 = 204,133.76 : x
  2. Step 2: Convert to fraction form
    365,301.20/504,081.96 = 204,133.76/x
  3. Step 3: Cross multiply
    365,301.20x = 504,081.96 × 204,133.76
  4. Step 4: Simplify right side
    365,301.20x = 102,900,145,842.97
  5. Step 5: Solve for x
    x = 102,900,145,842.97/365,301.20
  6. Step 6: Final answer
    x = 281,685.76

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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.