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Finding the Fourth Proportional to 133,614.06, 200,402.49 and 33,768.06

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Solution

The fourth proportional to 133,614.06, 200,402.49 and 33,768.06 is: 50,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614.06 : 200,402.49 = 33,768.06 : x
  2. Step 2: Convert to fraction form
    133,614.06/200,402.49 = 33,768.06/x
  3. Step 3: Cross multiply
    133,614.06x = 200,402.49 × 33,768.06
  4. Step 4: Simplify right side
    133,614.06x = 6,767,203,306.47
  5. Step 5: Solve for x
    x = 6,767,203,306.47/133,614.06
  6. Step 6: Final answer
    x = 50,647.39

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1.5x scale

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.