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Finding the Fourth Proportional to 133,891.16, 200,520.06 and 116,265.24

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Solution

The fourth proportional to 133,891.16, 200,520.06 and 116,265.24 is: 174,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,891.16 : 200,520.06 = 116,265.24 : x
  2. Step 2: Convert to fraction form
    133,891.16/200,520.06 = 116,265.24/x
  3. Step 3: Cross multiply
    133,891.16x = 200,520.06 × 116,265.24
  4. Step 4: Simplify right side
    133,891.16x = 23,313,512,900.71
  5. Step 5: Solve for x
    x = 23,313,512,900.71/133,891.16
  6. Step 6: Final answer
    x = 174,122.87

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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.