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Finding the Fourth Proportional to 133,568.89, 200,321.88 and 38,774.05

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Solution

The fourth proportional to 133,568.89, 200,321.88 and 38,774.05 is: 58,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.89 : 200,321.88 = 38,774.05 : x
  2. Step 2: Convert to fraction form
    133,568.89/200,321.88 = 38,774.05/x
  3. Step 3: Cross multiply
    133,568.89x = 200,321.88 × 38,774.05
  4. Step 4: Simplify right side
    133,568.89x = 7,767,290,591.21
  5. Step 5: Solve for x
    x = 7,767,290,591.21/133,568.89
  6. Step 6: Final answer
    x = 58,151.94

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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.