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Finding the Fourth Proportional to 205,061.20, 307,668.60 and 80,491.60

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Solution

The fourth proportional to 205,061.20, 307,668.60 and 80,491.60 is: 120,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,061.20 : 307,668.60 = 80,491.60 : x
  2. Step 2: Convert to fraction form
    205,061.20/307,668.60 = 80,491.60/x
  3. Step 3: Cross multiply
    205,061.20x = 307,668.60 × 80,491.60
  4. Step 4: Simplify right side
    205,061.20x = 24,764,737,883.76
  5. Step 5: Solve for x
    x = 24,764,737,883.76/205,061.20
  6. Step 6: Final answer
    x = 120,767.55

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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.