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Finding the Fourth Proportional to 133,206.38, 183,837.52 and 72,786.21

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Solution

The fourth proportional to 133,206.38, 183,837.52 and 72,786.21 is: 100,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.38 : 183,837.52 = 72,786.21 : x
  2. Step 2: Convert to fraction form
    133,206.38/183,837.52 = 72,786.21/x
  3. Step 3: Cross multiply
    133,206.38x = 183,837.52 × 72,786.21
  4. Step 4: Simplify right side
    133,206.38x = 13,380,836,336.60
  5. Step 5: Solve for x
    x = 13,380,836,336.60/133,206.38
  6. Step 6: Final answer
    x = 100,451.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.