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Finding the Fourth Proportional to 204,469.40, 306,713.70 and 64,232.60

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Solution

The fourth proportional to 204,469.40, 306,713.70 and 64,232.60 is: 96,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,469.40 : 306,713.70 = 64,232.60 : x
  2. Step 2: Convert to fraction form
    204,469.40/306,713.70 = 64,232.60/x
  3. Step 3: Cross multiply
    204,469.40x = 306,713.70 × 64,232.60
  4. Step 4: Simplify right side
    204,469.40x = 19,701,018,406.62
  5. Step 5: Solve for x
    x = 19,701,018,406.62/204,469.40
  6. Step 6: Final answer
    x = 96,351.92

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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.