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Finding the Fourth Proportional to 273,732.96, 410,614.02 and 86,759.04

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Solution

The fourth proportional to 273,732.96, 410,614.02 and 86,759.04 is: 130,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,732.96 : 410,614.02 = 86,759.04 : x
  2. Step 2: Convert to fraction form
    273,732.96/410,614.02 = 86,759.04/x
  3. Step 3: Cross multiply
    273,732.96x = 410,614.02 × 86,759.04
  4. Step 4: Simplify right side
    273,732.96x = 35,624,478,185.74
  5. Step 5: Solve for x
    x = 35,624,478,185.74/273,732.96
  6. Step 6: Final answer
    x = 130,143.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.