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Finding the Fourth Proportional to 150,474.84, 225,749.88 and 106,188.04

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Solution

The fourth proportional to 150,474.84, 225,749.88 and 106,188.04 is: 159,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,474.84 : 225,749.88 = 106,188.04 : x
  2. Step 2: Convert to fraction form
    150,474.84/225,749.88 = 106,188.04/x
  3. Step 3: Cross multiply
    150,474.84x = 225,749.88 × 106,188.04
  4. Step 4: Simplify right side
    150,474.84x = 23,971,937,287.44
  5. Step 5: Solve for x
    x = 23,971,937,287.44/150,474.84
  6. Step 6: Final answer
    x = 159,308.61

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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.