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Finding the Fourth Proportional to 133,800, 200,713.44 and 35,304

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Solution

The fourth proportional to 133,800, 200,713.44 and 35,304 is: 52,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,800 : 200,713.44 = 35,304 : x
  2. Step 2: Convert to fraction form
    133,800/200,713.44 = 35,304/x
  3. Step 3: Cross multiply
    133,800x = 200,713.44 × 35,304
  4. Step 4: Simplify right side
    133,800x = 7,085,987,285.76
  5. Step 5: Solve for x
    x = 7,085,987,285.76/133,800
  6. Step 6: Final answer
    x = 52,959.55

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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.