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Finding the Fourth Proportional to 116,082.81, 174,132.49 and 40,149.86

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Solution

The fourth proportional to 116,082.81, 174,132.49 and 40,149.86 is: 60,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,082.81 : 174,132.49 = 40,149.86 : x
  2. Step 2: Convert to fraction form
    116,082.81/174,132.49 = 40,149.86/x
  3. Step 3: Cross multiply
    116,082.81x = 174,132.49 × 40,149.86
  4. Step 4: Simplify right side
    116,082.81x = 6,991,395,094.95
  5. Step 5: Solve for x
    x = 6,991,395,094.95/116,082.81
  6. Step 6: Final answer
    x = 60,227.65

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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.