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Finding the Fourth Proportional to 135,964.97, 203,946.64 and 52,858.97

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Solution

The fourth proportional to 135,964.97, 203,946.64 and 52,858.97 is: 79,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964.97 : 203,946.64 = 52,858.97 : x
  2. Step 2: Convert to fraction form
    135,964.97/203,946.64 = 52,858.97/x
  3. Step 3: Cross multiply
    135,964.97x = 203,946.64 × 52,858.97
  4. Step 4: Simplify right side
    135,964.97x = 10,780,409,325.36
  5. Step 5: Solve for x
    x = 10,780,409,325.36/135,964.97
  6. Step 6: Final answer
    x = 79,288.14

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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.