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Finding the Fourth Proportional to 150,000.40, 225,000.60 and 97,469.20

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Solution

The fourth proportional to 150,000.40, 225,000.60 and 97,469.20 is: 146,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.40 : 225,000.60 = 97,469.20 : x
  2. Step 2: Convert to fraction form
    150,000.40/225,000.60 = 97,469.20/x
  3. Step 3: Cross multiply
    150,000.40x = 225,000.60 × 97,469.20
  4. Step 4: Simplify right side
    150,000.40x = 21,930,628,481.52
  5. Step 5: Solve for x
    x = 21,930,628,481.52/150,000.40
  6. Step 6: Final answer
    x = 146,203.80

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1.5x scale

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.