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Finding the Fourth Proportional to 133,735.60, 200,473.80 and 54,744.40

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Solution

The fourth proportional to 133,735.60, 200,473.80 and 54,744.40 is: 82,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735.60 : 200,473.80 = 54,744.40 : x
  2. Step 2: Convert to fraction form
    133,735.60/200,473.80 = 54,744.40/x
  3. Step 3: Cross multiply
    133,735.60x = 200,473.80 × 54,744.40
  4. Step 4: Simplify right side
    133,735.60x = 10,974,817,896.72
  5. Step 5: Solve for x
    x = 10,974,817,896.72/133,735.60
  6. Step 6: Final answer
    x = 82,063.55

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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.