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Finding the Fourth Proportional to 133,844.40, 200,372.16 and 117,236.87

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Solution

The fourth proportional to 133,844.40, 200,372.16 and 117,236.87 is: 175,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,844.40 : 200,372.16 = 117,236.87 : x
  2. Step 2: Convert to fraction form
    133,844.40/200,372.16 = 117,236.87/x
  3. Step 3: Cross multiply
    133,844.40x = 200,372.16 × 117,236.87
  4. Step 4: Simplify right side
    133,844.40x = 23,491,004,073.53
  5. Step 5: Solve for x
    x = 23,491,004,073.53/133,844.40
  6. Step 6: Final answer
    x = 175,509.80

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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.