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Finding the Fourth Proportional to 136,132, 204,198 and 53,084.32

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Solution

The fourth proportional to 136,132, 204,198 and 53,084.32 is: 79,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,132 : 204,198 = 53,084.32 : x
  2. Step 2: Convert to fraction form
    136,132/204,198 = 53,084.32/x
  3. Step 3: Cross multiply
    136,132x = 204,198 × 53,084.32
  4. Step 4: Simplify right side
    136,132x = 10,839,711,975.36
  5. Step 5: Solve for x
    x = 10,839,711,975.36/136,132
  6. Step 6: Final answer
    x = 79,626.48

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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.