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Finding the Fourth Proportional to 133,748.81, 200,634.15 and 54,863.72

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Solution

The fourth proportional to 133,748.81, 200,634.15 and 54,863.72 is: 82,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,748.81 : 200,634.15 = 54,863.72 : x
  2. Step 2: Convert to fraction form
    133,748.81/200,634.15 = 54,863.72/x
  3. Step 3: Cross multiply
    133,748.81x = 200,634.15 × 54,863.72
  4. Step 4: Simplify right side
    133,748.81x = 11,007,535,828.04
  5. Step 5: Solve for x
    x = 11,007,535,828.04/133,748.81
  6. Step 6: Final answer
    x = 82,300.07

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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.