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Finding the Fourth Proportional to 133,343.54, 200,046.30 and 38,569.90

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Solution

The fourth proportional to 133,343.54, 200,046.30 and 38,569.90 is: 57,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,343.54 : 200,046.30 = 38,569.90 : x
  2. Step 2: Convert to fraction form
    133,343.54/200,046.30 = 38,569.90/x
  3. Step 3: Cross multiply
    133,343.54x = 200,046.30 × 38,569.90
  4. Step 4: Simplify right side
    133,343.54x = 7,715,765,141.62
  5. Step 5: Solve for x
    x = 7,715,765,141.62/133,343.54
  6. Step 6: Final answer
    x = 57,863.81

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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.