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Finding the Fourth Proportional to 133,957.44, 200,937.60 and 50,832

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Solution

The fourth proportional to 133,957.44, 200,937.60 and 50,832 is: 76,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,957.44 : 200,937.60 = 50,832 : x
  2. Step 2: Convert to fraction form
    133,957.44/200,937.60 = 50,832/x
  3. Step 3: Cross multiply
    133,957.44x = 200,937.60 × 50,832
  4. Step 4: Simplify right side
    133,957.44x = 10,214,060,083.20
  5. Step 5: Solve for x
    x = 10,214,060,083.20/133,957.44
  6. Step 6: Final answer
    x = 76,248.55

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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.