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Finding the Fourth Proportional to 211,589.44, 317,404.61 and 61,826.31

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Solution

The fourth proportional to 211,589.44, 317,404.61 and 61,826.31 is: 92,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589.44 : 317,404.61 = 61,826.31 : x
  2. Step 2: Convert to fraction form
    211,589.44/317,404.61 = 61,826.31/x
  3. Step 3: Cross multiply
    211,589.44x = 317,404.61 × 61,826.31
  4. Step 4: Simplify right side
    211,589.44x = 19,623,955,813.29
  5. Step 5: Solve for x
    x = 19,623,955,813.29/211,589.44
  6. Step 6: Final answer
    x = 92,745.44

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Why These Related Problems?

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