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Finding the Fourth Proportional to 133,795.88, 200,704.77 and 67,201.76

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Solution

The fourth proportional to 133,795.88, 200,704.77 and 67,201.76 is: 100,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795.88 : 200,704.77 = 67,201.76 : x
  2. Step 2: Convert to fraction form
    133,795.88/200,704.77 = 67,201.76/x
  3. Step 3: Cross multiply
    133,795.88x = 200,704.77 × 67,201.76
  4. Step 4: Simplify right side
    133,795.88x = 13,487,713,784.40
  5. Step 5: Solve for x
    x = 13,487,713,784.40/133,795.88
  6. Step 6: Final answer
    x = 100,808.14

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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.