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Finding the Fourth Proportional to 150,627.84, 225,902.16 and 71,584.80

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Solution

The fourth proportional to 150,627.84, 225,902.16 and 71,584.80 is: 107,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,627.84 : 225,902.16 = 71,584.80 : x
  2. Step 2: Convert to fraction form
    150,627.84/225,902.16 = 71,584.80/x
  3. Step 3: Cross multiply
    150,627.84x = 225,902.16 × 71,584.80
  4. Step 4: Simplify right side
    150,627.84x = 16,171,160,943.17
  5. Step 5: Solve for x
    x = 16,171,160,943.17/150,627.84
  6. Step 6: Final answer
    x = 107,358.38

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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.