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Finding the Fourth Proportional to 150,489.30, 225,768.66 and 50,646.90

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Solution

The fourth proportional to 150,489.30, 225,768.66 and 50,646.90 is: 75,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,489.30 : 225,768.66 = 50,646.90 : x
  2. Step 2: Convert to fraction form
    150,489.30/225,768.66 = 50,646.90/x
  3. Step 3: Cross multiply
    150,489.30x = 225,768.66 × 50,646.90
  4. Step 4: Simplify right side
    150,489.30x = 11,434,482,746.15
  5. Step 5: Solve for x
    x = 11,434,482,746.15/150,489.30
  6. Step 6: Final answer
    x = 75,982.03

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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.