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Finding the Fourth Proportional to 213,778.40, 295,188.56 and 137,335.44

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Solution

The fourth proportional to 213,778.40, 295,188.56 and 137,335.44 is: 189,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,778.40 : 295,188.56 = 137,335.44 : x
  2. Step 2: Convert to fraction form
    213,778.40/295,188.56 = 137,335.44/x
  3. Step 3: Cross multiply
    213,778.40x = 295,188.56 × 137,335.44
  4. Step 4: Simplify right side
    213,778.40x = 40,539,850,770.57
  5. Step 5: Solve for x
    x = 40,539,850,770.57/213,778.40
  6. Step 6: Final answer
    x = 189,634.92

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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.