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Finding the Fourth Proportional to 213,029.59, 293,986.99 and 117,542.44

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Solution

The fourth proportional to 213,029.59, 293,986.99 and 117,542.44 is: 162,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,029.59 : 293,986.99 = 117,542.44 : x
  2. Step 2: Convert to fraction form
    213,029.59/293,986.99 = 117,542.44/x
  3. Step 3: Cross multiply
    213,029.59x = 293,986.99 × 117,542.44
  4. Step 4: Simplify right side
    213,029.59x = 34,555,948,132.86
  5. Step 5: Solve for x
    x = 34,555,948,132.86/213,029.59
  6. Step 6: Final answer
    x = 162,211.96

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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.