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Finding the Fourth Proportional to 133,593.96, 200,257.80 and 66,830.28

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Solution

The fourth proportional to 133,593.96, 200,257.80 and 66,830.28 is: 100,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,593.96 : 200,257.80 = 66,830.28 : x
  2. Step 2: Convert to fraction form
    133,593.96/200,257.80 = 66,830.28/x
  3. Step 3: Cross multiply
    133,593.96x = 200,257.80 × 66,830.28
  4. Step 4: Simplify right side
    133,593.96x = 13,383,284,846.18
  5. Step 5: Solve for x
    x = 13,383,284,846.18/133,593.96
  6. Step 6: Final answer
    x = 100,178.82

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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.