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Finding the Fourth Proportional to 204,434.57, 306,664.16 and 64,193.20

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Solution

The fourth proportional to 204,434.57, 306,664.16 and 64,193.20 is: 96,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,434.57 : 306,664.16 = 64,193.20 : x
  2. Step 2: Convert to fraction form
    204,434.57/306,664.16 = 64,193.20/x
  3. Step 3: Cross multiply
    204,434.57x = 306,664.16 × 64,193.20
  4. Step 4: Simplify right side
    204,434.57x = 19,685,753,755.71
  5. Step 5: Solve for x
    x = 19,685,753,755.71/204,434.57
  6. Step 6: Final answer
    x = 96,293.66

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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.