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Finding the Fourth Proportional to 145,198.44, 217,854 and 56,514.24

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Solution

The fourth proportional to 145,198.44, 217,854 and 56,514.24 is: 84,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,198.44 : 217,854 = 56,514.24 : x
  2. Step 2: Convert to fraction form
    145,198.44/217,854 = 56,514.24/x
  3. Step 3: Cross multiply
    145,198.44x = 217,854 × 56,514.24
  4. Step 4: Simplify right side
    145,198.44x = 12,311,853,240.96
  5. Step 5: Solve for x
    x = 12,311,853,240.96/145,198.44
  6. Step 6: Final answer
    x = 84,793.29

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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.