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Finding the Fourth Proportional to 133,728.27, 200,602.31 and 44,981.43

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Solution

The fourth proportional to 133,728.27, 200,602.31 and 44,981.43 is: 67,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728.27 : 200,602.31 = 44,981.43 : x
  2. Step 2: Convert to fraction form
    133,728.27/200,602.31 = 44,981.43/x
  3. Step 3: Cross multiply
    133,728.27x = 200,602.31 × 44,981.43
  4. Step 4: Simplify right side
    133,728.27x = 9,023,378,540.20
  5. Step 5: Solve for x
    x = 9,023,378,540.20/133,728.27
  6. Step 6: Final answer
    x = 67,475.48

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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.