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Finding the Fourth Proportional to 204,744.60, 307,160.10 and 64,517.40

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Solution

The fourth proportional to 204,744.60, 307,160.10 and 64,517.40 is: 96,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,744.60 : 307,160.10 = 64,517.40 : x
  2. Step 2: Convert to fraction form
    204,744.60/307,160.10 = 64,517.40/x
  3. Step 3: Cross multiply
    204,744.60x = 307,160.10 × 64,517.40
  4. Step 4: Simplify right side
    204,744.60x = 19,817,171,035.74
  5. Step 5: Solve for x
    x = 19,817,171,035.74/204,744.60
  6. Step 6: Final answer
    x = 96,789.71

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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.