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Finding the Fourth Proportional to 208,945.50, 288,206.19 and 140,037

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Solution

The fourth proportional to 208,945.50, 288,206.19 and 140,037 is: 193,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,945.50 : 288,206.19 = 140,037 : x
  2. Step 2: Convert to fraction form
    208,945.50/288,206.19 = 140,037/x
  3. Step 3: Cross multiply
    208,945.50x = 288,206.19 × 140,037
  4. Step 4: Simplify right side
    208,945.50x = 40,359,530,229.03
  5. Step 5: Solve for x
    x = 40,359,530,229.03/208,945.50
  6. Step 6: Final answer
    x = 193,158.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.