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Finding the Fourth Proportional to 133,647.20, 200,524.80 and 58,781.60

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Solution

The fourth proportional to 133,647.20, 200,524.80 and 58,781.60 is: 88,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647.20 : 200,524.80 = 58,781.60 : x
  2. Step 2: Convert to fraction form
    133,647.20/200,524.80 = 58,781.60/x
  3. Step 3: Cross multiply
    133,647.20x = 200,524.80 × 58,781.60
  4. Step 4: Simplify right side
    133,647.20x = 11,787,168,583.68
  5. Step 5: Solve for x
    x = 11,787,168,583.68/133,647.20
  6. Step 6: Final answer
    x = 88,196.15

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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.