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Finding the Fourth Proportional to 133,781.60, 200,575.20 and 54,855.20

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Solution

The fourth proportional to 133,781.60, 200,575.20 and 54,855.20 is: 82,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,781.60 : 200,575.20 = 54,855.20 : x
  2. Step 2: Convert to fraction form
    133,781.60/200,575.20 = 54,855.20/x
  3. Step 3: Cross multiply
    133,781.60x = 200,575.20 × 54,855.20
  4. Step 4: Simplify right side
    133,781.60x = 11,002,592,711.04
  5. Step 5: Solve for x
    x = 11,002,592,711.04/133,781.60
  6. Step 6: Final answer
    x = 82,242.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.