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Finding the Fourth Proportional to 262,176.46, 361,834.23 and 149,016.22

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Solution

The fourth proportional to 262,176.46, 361,834.23 and 149,016.22 is: 205,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,176.46 : 361,834.23 = 149,016.22 : x
  2. Step 2: Convert to fraction form
    262,176.46/361,834.23 = 149,016.22/x
  3. Step 3: Cross multiply
    262,176.46x = 361,834.23 × 149,016.22
  4. Step 4: Simplify right side
    262,176.46x = 53,919,169,221.21
  5. Step 5: Solve for x
    x = 53,919,169,221.21/262,176.46
  6. Step 6: Final answer
    x = 205,659.84

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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.