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Finding the Fourth Proportional to 180,136.80, 270,220.19 and 53,768.70

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Solution

The fourth proportional to 180,136.80, 270,220.19 and 53,768.70 is: 80,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,136.80 : 270,220.19 = 53,768.70 : x
  2. Step 2: Convert to fraction form
    180,136.80/270,220.19 = 53,768.70/x
  3. Step 3: Cross multiply
    180,136.80x = 270,220.19 × 53,768.70
  4. Step 4: Simplify right side
    180,136.80x = 14,529,388,061.21
  5. Step 5: Solve for x
    x = 14,529,388,061.21/180,136.80
  6. Step 6: Final answer
    x = 80,657.52

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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.