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Finding the Fourth Proportional to 213,457.45, 320,186.18 and 80,367.57

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Solution

The fourth proportional to 213,457.45, 320,186.18 and 80,367.57 is: 120,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,457.45 : 320,186.18 = 80,367.57 : x
  2. Step 2: Convert to fraction form
    213,457.45/320,186.18 = 80,367.57/x
  3. Step 3: Cross multiply
    213,457.45x = 320,186.18 × 80,367.57
  4. Step 4: Simplify right side
    213,457.45x = 25,732,585,234.18
  5. Step 5: Solve for x
    x = 25,732,585,234.18/213,457.45
  6. Step 6: Final answer
    x = 120,551.36

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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.