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Finding the Fourth Proportional to 133,867.32, 200,767.38 and 55,003.32

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Solution

The fourth proportional to 133,867.32, 200,767.38 and 55,003.32 is: 82,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,867.32 : 200,767.38 = 55,003.32 : x
  2. Step 2: Convert to fraction form
    133,867.32/200,767.38 = 55,003.32/x
  3. Step 3: Cross multiply
    133,867.32x = 200,767.38 × 55,003.32
  4. Step 4: Simplify right side
    133,867.32x = 11,042,872,447.70
  5. Step 5: Solve for x
    x = 11,042,872,447.70/133,867.32
  6. Step 6: Final answer
    x = 82,491.17

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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.