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Finding the Fourth Proportional to 211,219.50, 291,471.76 and 120,571.86

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Solution

The fourth proportional to 211,219.50, 291,471.76 and 120,571.86 is: 166,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,219.50 : 291,471.76 = 120,571.86 : x
  2. Step 2: Convert to fraction form
    211,219.50/291,471.76 = 120,571.86/x
  3. Step 3: Cross multiply
    211,219.50x = 291,471.76 × 120,571.86
  4. Step 4: Simplify right side
    211,219.50x = 35,143,290,481.89
  5. Step 5: Solve for x
    x = 35,143,290,481.89/211,219.50
  6. Step 6: Final answer
    x = 166,382.80

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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.