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Finding the Fourth Proportional to 133,668.64, 200,512.80 and 44,921.50

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Solution

The fourth proportional to 133,668.64, 200,512.80 and 44,921.50 is: 67,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668.64 : 200,512.80 = 44,921.50 : x
  2. Step 2: Convert to fraction form
    133,668.64/200,512.80 = 44,921.50/x
  3. Step 3: Cross multiply
    133,668.64x = 200,512.80 × 44,921.50
  4. Step 4: Simplify right side
    133,668.64x = 9,007,335,745.20
  5. Step 5: Solve for x
    x = 9,007,335,745.20/133,668.64
  6. Step 6: Final answer
    x = 67,385.56

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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.