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Finding the Fourth Proportional to 149,635.20, 224,575.20 and 148,468.80

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Solution

The fourth proportional to 149,635.20, 224,575.20 and 148,468.80 is: 222,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,635.20 : 224,575.20 = 148,468.80 : x
  2. Step 2: Convert to fraction form
    149,635.20/224,575.20 = 148,468.80/x
  3. Step 3: Cross multiply
    149,635.20x = 224,575.20 × 148,468.80
  4. Step 4: Simplify right side
    149,635.20x = 33,342,410,453.76
  5. Step 5: Solve for x
    x = 33,342,410,453.76/149,635.20
  6. Step 6: Final answer
    x = 222,824.65

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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.