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Finding the Fourth Proportional to 204,356.81, 306,584.44 and 64,115.44

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Solution

The fourth proportional to 204,356.81, 306,584.44 and 64,115.44 is: 96,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,356.81 : 306,584.44 = 64,115.44 : x
  2. Step 2: Convert to fraction form
    204,356.81/306,584.44 = 64,115.44/x
  3. Step 3: Cross multiply
    204,356.81x = 306,584.44 × 64,115.44
  4. Step 4: Simplify right side
    204,356.81x = 19,656,795,341.00
  5. Step 5: Solve for x
    x = 19,656,795,341.00/204,356.81
  6. Step 6: Final answer
    x = 96,188.60

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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.