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Finding the Fourth Proportional to 213,352.20, 294,415.20 and 117,840.44

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Solution

The fourth proportional to 213,352.20, 294,415.20 and 117,840.44 is: 162,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,352.20 : 294,415.20 = 117,840.44 : x
  2. Step 2: Convert to fraction form
    213,352.20/294,415.20 = 117,840.44/x
  3. Step 3: Cross multiply
    213,352.20x = 294,415.20 × 117,840.44
  4. Step 4: Simplify right side
    213,352.20x = 34,694,016,710.69
  5. Step 5: Solve for x
    x = 34,694,016,710.69/213,352.20
  6. Step 6: Final answer
    x = 162,613.82

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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.