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Finding the Fourth Proportional to 204,221.69, 306,332.67 and 63,991.25

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Solution

The fourth proportional to 204,221.69, 306,332.67 and 63,991.25 is: 95,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,221.69 : 306,332.67 = 63,991.25 : x
  2. Step 2: Convert to fraction form
    204,221.69/306,332.67 = 63,991.25/x
  3. Step 3: Cross multiply
    204,221.69x = 306,332.67 × 63,991.25
  4. Step 4: Simplify right side
    204,221.69x = 19,602,610,469.14
  5. Step 5: Solve for x
    x = 19,602,610,469.14/204,221.69
  6. Step 6: Final answer
    x = 95,986.92

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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.