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Finding the Fourth Proportional to 202,885.20, 304,162.92 and 84,644.64

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Solution

The fourth proportional to 202,885.20, 304,162.92 and 84,644.64 is: 126,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,885.20 : 304,162.92 = 84,644.64 : x
  2. Step 2: Convert to fraction form
    202,885.20/304,162.92 = 84,644.64/x
  3. Step 3: Cross multiply
    202,885.20x = 304,162.92 × 84,644.64
  4. Step 4: Simplify right side
    202,885.20x = 25,745,760,864.75
  5. Step 5: Solve for x
    x = 25,745,760,864.75/202,885.20
  6. Step 6: Final answer
    x = 126,898.17

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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.