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Finding the Fourth Proportional to 227,213.88, 313,553.73 and 123,847.98

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Solution

The fourth proportional to 227,213.88, 313,553.73 and 123,847.98 is: 170,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,213.88 : 313,553.73 = 123,847.98 : x
  2. Step 2: Convert to fraction form
    227,213.88/313,553.73 = 123,847.98/x
  3. Step 3: Cross multiply
    227,213.88x = 313,553.73 × 123,847.98
  4. Step 4: Simplify right side
    227,213.88x = 38,832,996,081.97
  5. Step 5: Solve for x
    x = 38,832,996,081.97/227,213.88
  6. Step 6: Final answer
    x = 170,909.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.