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Finding the Fourth Proportional to 204,412.50, 306,619.56 and 56,668.50

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Solution

The fourth proportional to 204,412.50, 306,619.56 and 56,668.50 is: 85,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,412.50 : 306,619.56 = 56,668.50 : x
  2. Step 2: Convert to fraction form
    204,412.50/306,619.56 = 56,668.50/x
  3. Step 3: Cross multiply
    204,412.50x = 306,619.56 × 56,668.50
  4. Step 4: Simplify right side
    204,412.50x = 17,375,670,535.86
  5. Step 5: Solve for x
    x = 17,375,670,535.86/204,412.50
  6. Step 6: Final answer
    x = 85,002.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.