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Finding the Fourth Proportional to 211,505.27, 317,259.52 and 71,261.87

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Solution

The fourth proportional to 211,505.27, 317,259.52 and 71,261.87 is: 106,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,505.27 : 317,259.52 = 71,261.87 : x
  2. Step 2: Convert to fraction form
    211,505.27/317,259.52 = 71,261.87/x
  3. Step 3: Cross multiply
    211,505.27x = 317,259.52 × 71,261.87
  4. Step 4: Simplify right side
    211,505.27x = 22,608,504,906.05
  5. Step 5: Solve for x
    x = 22,608,504,906.05/211,505.27
  6. Step 6: Final answer
    x = 106,893.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.