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Finding the Fourth Proportional to 206,331.77, 284,749.53 and 115,716.67

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Solution

The fourth proportional to 206,331.77, 284,749.53 and 115,716.67 is: 159,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,331.77 : 284,749.53 = 115,716.67 : x
  2. Step 2: Convert to fraction form
    206,331.77/284,749.53 = 115,716.67/x
  3. Step 3: Cross multiply
    206,331.77x = 284,749.53 × 115,716.67
  4. Step 4: Simplify right side
    206,331.77x = 32,950,266,249.85
  5. Step 5: Solve for x
    x = 32,950,266,249.85/206,331.77
  6. Step 6: Final answer
    x = 159,695.55

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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.