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Finding the Fourth Proportional to 204,679.25, 307,029.81 and 64,448.81

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Solution

The fourth proportional to 204,679.25, 307,029.81 and 64,448.81 is: 96,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,679.25 : 307,029.81 = 64,448.81 : x
  2. Step 2: Convert to fraction form
    204,679.25/307,029.81 = 64,448.81/x
  3. Step 3: Cross multiply
    204,679.25x = 307,029.81 × 64,448.81
  4. Step 4: Simplify right side
    204,679.25x = 19,787,705,889.03
  5. Step 5: Solve for x
    x = 19,787,705,889.03/204,679.25
  6. Step 6: Final answer
    x = 96,676.66

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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.