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Finding the Fourth Proportional to 133,686.60, 200,529.90 and 54,857.40

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Solution

The fourth proportional to 133,686.60, 200,529.90 and 54,857.40 is: 82,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.60 : 200,529.90 = 54,857.40 : x
  2. Step 2: Convert to fraction form
    133,686.60/200,529.90 = 54,857.40/x
  3. Step 3: Cross multiply
    133,686.60x = 200,529.90 × 54,857.40
  4. Step 4: Simplify right side
    133,686.60x = 11,000,548,936.26
  5. Step 5: Solve for x
    x = 11,000,548,936.26/133,686.60
  6. Step 6: Final answer
    x = 82,286.10

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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.