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Finding the Fourth Proportional to 97,198.89, 134,133.87 and 54,771.09

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Solution

The fourth proportional to 97,198.89, 134,133.87 and 54,771.09 is: 75,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,198.89 : 134,133.87 = 54,771.09 : x
  2. Step 2: Convert to fraction form
    97,198.89/134,133.87 = 54,771.09/x
  3. Step 3: Cross multiply
    97,198.89x = 134,133.87 × 54,771.09
  4. Step 4: Simplify right side
    97,198.89x = 7,346,658,265.82
  5. Step 5: Solve for x
    x = 7,346,658,265.82/97,198.89
  6. Step 6: Final answer
    x = 75,583.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.