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Finding the Fourth Proportional to 262,704.75, 362,532.96 and 149,527.50

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Solution

The fourth proportional to 262,704.75, 362,532.96 and 149,527.50 is: 206,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704.75 : 362,532.96 = 149,527.50 : x
  2. Step 2: Convert to fraction form
    262,704.75/362,532.96 = 149,527.50/x
  3. Step 3: Cross multiply
    262,704.75x = 362,532.96 × 149,527.50
  4. Step 4: Simplify right side
    262,704.75x = 54,208,647,176.40
  5. Step 5: Solve for x
    x = 54,208,647,176.40/262,704.75
  6. Step 6: Final answer
    x = 206,348.18

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Why These Related Problems?

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