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Finding the Fourth Proportional to 133,905.92, 200,774.40 and 67,266.56

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Solution

The fourth proportional to 133,905.92, 200,774.40 and 67,266.56 is: 100,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905.92 : 200,774.40 = 67,266.56 : x
  2. Step 2: Convert to fraction form
    133,905.92/200,774.40 = 67,266.56/x
  3. Step 3: Cross multiply
    133,905.92x = 200,774.40 × 67,266.56
  4. Step 4: Simplify right side
    133,905.92x = 13,505,403,224.06
  5. Step 5: Solve for x
    x = 13,505,403,224.06/133,905.92
  6. Step 6: Final answer
    x = 100,857.40

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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.