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Finding the Fourth Proportional to 211,471.56, 291,834.50 and 115,977.42

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Solution

The fourth proportional to 211,471.56, 291,834.50 and 115,977.42 is: 160,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471.56 : 291,834.50 = 115,977.42 : x
  2. Step 2: Convert to fraction form
    211,471.56/291,834.50 = 115,977.42/x
  3. Step 3: Cross multiply
    211,471.56x = 291,834.50 × 115,977.42
  4. Step 4: Simplify right side
    211,471.56x = 33,846,211,797.10
  5. Step 5: Solve for x
    x = 33,846,211,797.10/211,471.56
  6. Step 6: Final answer
    x = 160,050.89

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