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Finding the Fourth Proportional to 262,704.66, 362,532.83 and 149,527.41

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Solution

The fourth proportional to 262,704.66, 362,532.83 and 149,527.41 is: 206,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704.66 : 362,532.83 = 149,527.41 : x
  2. Step 2: Convert to fraction form
    262,704.66/362,532.83 = 149,527.41/x
  3. Step 3: Cross multiply
    262,704.66x = 362,532.83 × 149,527.41
  4. Step 4: Simplify right side
    262,704.66x = 54,208,593,843.83
  5. Step 5: Solve for x
    x = 54,208,593,843.83/262,704.66
  6. Step 6: Final answer
    x = 206,348.05

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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.